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Synthetic Research of Probability Theory

Research Project

Project/Area Number 17204009
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionOsaka University

Principal Investigator

SUGITA Hiroshi  Osaka University, Graduate School of Science, Professor (50192125)

Co-Investigator(Kenkyū-buntansha) TAKEDA Masayoshi  Tohoku Univ, Graduate School of Science, Professor (30179650)
TANIGUCHI Setsuo  Kyushu Univ, Graduate School of Mathematis, Professor (70155208)
AIDA Shigeki  Osaka University, Graduate School of Engineering Science, Professor (90222455)
MORITA Takehiko  Hiroshima Univ, Graduate School of Science, Professor (00192782)
HINO Masanori  Kyoto Univ, Graduates School of Information, Associate Professor (40303888)
濱名 裕治  熊本大学, 理学部, 教授 (00243923)
井上 昭彦  北海道大学, 大学院・理学研究科, 助教授 (50168431)
Project Period (FY) 2005 – 2007
Project Status Completed (Fiscal Year 2007)
Budget Amount *help
¥47,710,000 (Direct Cost: ¥36,700,000、Indirect Cost: ¥11,010,000)
Fiscal Year 2007: ¥17,030,000 (Direct Cost: ¥13,100,000、Indirect Cost: ¥3,930,000)
Fiscal Year 2006: ¥14,300,000 (Direct Cost: ¥11,000,000、Indirect Cost: ¥3,300,000)
Fiscal Year 2005: ¥16,380,000 (Direct Cost: ¥12,600,000、Indirect Cost: ¥3,780,000)
KeywordsProbability theor / Stochastic analysis / Stochastic Process / Limit theorem / Ereodic theory / Monte Carlo method / 確率過程論 / 数理ファイナンス / マリアヴァン解析 / ランダム分割
Research Abstract

Our purpose is to contribute to Japanese society of probability theory by the total sum of research results of our investigators, who are experts of each field, in order to develop and make use of the traversality that probability theory originally has.
We sponsored or co-sponsored 4 international conferences (Probability and Number theory, Large Scale Interaction Systems, 2 conferences on Mathematical Finance), 26 domestic symposia, in which we financially supported 285 participants including 13 from overseas.
We got many results. Among them, we here present 3 results obtained by the head investigator. (1) By formulating the Monte Carlo method as stochastic game (gambling), and applying Kolmogorov's random number theory, we revealed the essential problem of sampling in the Monte Carlo method (2) The probability of two monic polynomials over any finite fields to be coprime is computed by an extended ergodic theorem in the adelic completion of the ring of polynomials. (3) We considered a randomized digamma function, and investigated the central limit theorem for them, whose results can be regarded as the fluctuated potential caused by randomly located electric charges on the half line.

Report

(4 results)
  • 2007 Annual Research Report   Final Research Report Summary
  • 2006 Annual Research Report
  • 2005 Annual Research Report
  • Research Products

    (185 results)

All 2008 2007 2006 2005 Other

All Journal Article (77 results) (of which Peer Reviewed: 27 results) Presentation (102 results) Book (4 results) Remarks (2 results)

  • [Journal Article] Some topics connected with gaugeability for Feynman-Kac functionals2008

    • Author(s)
      Takeda, Masayoshi
    • Journal Title

      RIMS Kokyuroku Bessatsu B6

      Pages: 221-236

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Hadamard's variation and Poincare's lemma on a certain non-convex domain2008

    • Author(s)
      Aida, Shigeki
    • Journal Title

      RIMS Kokyuroku Bessatsu B6

      Pages: 1-14

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Reflecting Ornstein-Uhlenbeck processes on pinned path spaces2008

    • Author(s)
      Hion, Masanori and Uchida, Hiroto
    • Journal Title

      RIMS Kokyuroku Bessatsu B6

      Pages: 111-128

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Some topics connected with gaugeability for Feynman-Kac functional2008

    • Author(s)
      Takeda, Masayoshi
    • Journal Title

      RIMS Kokyuroku Bessatsu B6

      Pages: 221-236

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Reflecting Ornstein-Uhlenbeck processes on pinned path spaces2008

    • Author(s)
      Hino, Masanori, Uchida, Hiroto
    • Journal Title

      RIMS Kokyuroku Bessatsu B6

      Pages: 111-128

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] The probability of two F_q-polynomials to be coprime2007

    • Author(s)
      Sugita, Hiroshi and Takanobu, Satoshi
    • Journal Title

      Advanced Studies in Pure Math. 49

      Pages: 455-478

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Lp-independence of spectral bounds of Schrodinger type semigroups2007

    • Author(s)
      Takeda, Masayoshi
    • Journal Title

      J. Fanct. Anal. 252

      Pages: 550-565

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Branching Brownian motions on Riemannian manifolds: expectation of the number of branches hitting closed sets2007

    • Author(s)
      Takeda, Masayoshi
    • Journal Title

      Potential Anal. 27

      Pages: 61-72

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Differentiability of spectral functions for symmetric α-stable processes2007

    • Author(s)
      Takeda, Masayoshi and Tsuchida, Kaneharu
    • Journal Title

      Trans. Amer. Math. Soc. 359

      Pages: 4031-4054

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Gaussian bounds of heat kernels of Schrodinger operators on Riemannian manifolds2007

    • Author(s)
      Takeda, Masayoshi
    • Journal Title

      Bull. London Math. Soc. 39

      Pages: 85-94

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] On the Jacobi field approach to stochastic oscillatory integrals with quadratic phase function2007

    • Author(s)
      Taniguchi, Setsuo
    • Journal Title

      Kyushu J. Math. 61

      Pages: 191-208

    • NAID

      130000063190

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Stochastic calculus and the KdV equation2007

    • Author(s)
      Taniguchi, Setsuo
    • Journal Title

      Contemp. Math. 429

      Pages: 245-256

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Semi-classical limit of the bottom of spectrum of a Schrodinger operator on a path space over a compact Riemannian manifold2007

    • Author(s)
      Aida, Shigeki
    • Journal Title

      J. Funct. Anal. 251

      Pages: 59-121

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Renormalized Rauzy inductions2007

    • Author(s)
      Morita, Takehiko
    • Journal Title

      Advanced Studies in Pure Math. 49

      Pages: 263-288

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Meromorphic extensions of a class of zeta functions for two-dimensional billiards without eclipse2007

    • Author(s)
      Morita, Takehiko
    • Journal Title

      Tohoku Math. J. (2) 59

      Pages: 167-202

    • NAID

      110006276419

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] The probability of two F_q-polynomials to be coprime2007

    • Author(s)
      Sugita, Hiroshi, Takanobu, Satoshi
    • Journal Title

      Advanced Studies in Pure Math 49

      Pages: 455-478

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Lp-independence of spectral bounds of Schrodinger type semigroups2007

    • Author(s)
      Takeda, Masayoshi
    • Journal Title

      J. Fanct. Anal 252

      Pages: 550-565

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Branching Brownian motions on Riemannian manifolds : expectation of the number of branches hitting closed sets2007

    • Author(s)
      Takeda, Masayoshi
    • Journal Title

      Potential Anal 27

      Pages: 61-72

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Differentiability of spectral functions for symmetric a-stable processes2007

    • Author(s)
      Takeda, Masayoshi, Tsuchida, Kaneharu
    • Journal Title

      Trans. Amer. Math. Soc 359

      Pages: 4031-3054

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Gaussian bounds of heat kernels of Schrodinger operators on Riemannian manifolds2007

    • Author(s)
      Takeda, Masayoshi
    • Journal Title

      Bull. London Math. Soc 39

      Pages: 85-94

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] On the Jacobi field approach to stochastic oscillatory integrals with quadratic phase function2007

    • Author(s)
      Taniguchi, Setsuo
    • Journal Title

      Kyushu J. Math 61

      Pages: 135-151

    • NAID

      130000063190

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Stochastic calculus and the KdV equation2007

    • Author(s)
      Taniguchi, Setsuo
    • Journal Title

      Contemp. Math 429

      Pages: 245-256

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Semi-classical limit of the bottom of spectrum of a Schrodinger operator on a path space over a compact Riemannian manifold2007

    • Author(s)
      Aida, Shigeki
    • Journal Title

      J. Funct. Anal 251

      Pages: 59-121

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Renormalized Rauzy inductions2007

    • Author(s)
      Morita, Takehiko
    • Journal Title

      Advanced Studies in Pure Math 49

      Pages: 263-288

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Meromorphic extensions of a class of zeta functions for two-dimensional billiards without eclipse2007

    • Author(s)
      Morita, Takehiko
    • Journal Title

      Tohoku Math. J (2) 59

      Pages: 167-202

    • NAID

      110006276419

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] The probability of two F_q-polynomials to be coprime2007

    • Author(s)
      Sugita, Hiroshi and Takanobu, Satoshi
    • Journal Title

      Proceedings of the International Conference on Probability and Number Theory-Kanazawa 2005 ASPM49

      Pages: 455-478

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Lp-independence of spectral bounds of Schrodinger type semigroups.2007

    • Author(s)
      Takeda, Masayoshi
    • Journal Title

      J. Fanct. Anal. 252

      Pages: 550-565

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Differentiability of spectral functions for symmetric alpha stable processes.2007

    • Author(s)
      Takeda, Masayoshi and Tsuchida, Kaneharu
    • Journal Title

      Trans. Amer. Math. Soc. 359

      Pages: 4031-4054

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Gaussian bounds of heat kernels for Schrodinger operators on Riemannian manifolds2007

    • Author(s)
      Takeda, Masayoshi
    • Journal Title

      Bull. Lond, Math. Soc. 39

      Pages: 85-94

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A prediction problem in $Lsp 2(w)$2007

    • Author(s)
      Pourahmadi, Mohsen, Inoue, Akihiko, Kasahara, Yukio
    • Journal Title

      Proc. Amer. Math. Soc. (electronic) 135-4

      Pages: 1233-1239

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Numerical integration of complicated functions and random sampling2006

    • Author(s)
      Sugita, Hiroshi
    • Journal Title

      SUGAKU EXPOSITIONS 19-2

      Pages: 153-169

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary 2006 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Gaugeability for Feynman-Kac functionals with applications to symmetric α-stable processes2006

    • Author(s)
      Takeda, Masayoshi
    • Journal Title

      Proc.Amer. Math.Soc. 134

      Pages: 2719-2728

    • NAID

      120002069925

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] On the Quadratic Wiener Functional Associated with the Malliavin Derivative of the Square Norm of Brownian Sample Path on Interval2006

    • Author(s)
      Taniguchi, Setsuo
    • Journal Title

      Electron. Comm. Probab. 116-2

      Pages: 1-10

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Brownian sheet and reflectionless potentials2006

    • Author(s)
      Taniguchi, Setsuo
    • Journal Title

      Stoch. Pro. Appl. 11

      Pages: 293-309

    • NAID

      120000981479

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Meromorphic extensions of a class of dynamical zeta functions and their special values at the origin2006

    • Author(s)
      Morita, Takehiko
    • Journal Title

      Ergod. Th. & Dynam. Sys. 26-4

      Pages: 1127-1158

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] A trace theorem for Dirichlet forms on fractals2006

    • Author(s)
      Hino, Masanori and Kumagai, Takashi
    • Journal Title

      Jour. Funct. Anal. 238

      Pages: 578-611

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] On singularity of energy measures on self-similar sets II2006

    • Author(s)
      Hino, Masanori and Nakahara, Kenji
    • Journal Title

      Bull. London Math. Soc. 38

      Pages: 1019-1032

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Gaugeability for Feynman-Kac functionals plications to symmetric a-stable processes2006

    • Author(s)
      Takeda, Masayoshi
    • Journal Title

      Proc. Amer. Math. Soc 134

      Pages: 2719-2728

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] On the Quadratic Wiener Functional Associated with the Malliavin Derivative of the Square Norm of Brownian Sample Path on Interval2006

    • Author(s)
      Taniguchi, Setsuo
    • Journal Title

      Electron. Comm. Probab 116-2

      Pages: 1-10

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Brownian sheet and reflectionless potentials2006

    • Author(s)
      Taniguchi, Setsuo
    • Journal Title

      Stoch. Pro. Appl 11

      Pages: 293-309

    • NAID

      120000981479

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Meromorphic extensions of a class of dynamical zeta functionsand their special values at the origin2006

    • Author(s)
      Morita, Takehiko
    • Journal Title

      Ergod. Th. & Dynam. Sys 26-4

      Pages: 1127-1158

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] A trace theorem for Dirichlet forms on fractals2006

    • Author(s)
      Hino, Masanori, Kumagai, Takashi
    • Journal Title

      Jour. Funct. Anal 238

      Pages: 578-611

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] On singularity of energy measures on self-similar sets II2006

    • Author(s)
      Hino, Masanori, Nakahara, Kenji
    • Journal Title

      Bull. London Math. Soc 38

      Pages: 1019-1032

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] On the quadratic Wiener functional associated with the Malliavin derivative of the square norm of Brownian sample path on interval2006

    • Author(s)
      Taniguchi, Setsuo
    • Journal Title

      Electron. Comm. Probab. 11

      Pages: 1-10

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Brownian sheet and reflectionless potentials.2006

    • Author(s)
      Taniguchi, Setsuo
    • Journal Title

      Stochastic Process. Appl. 116-2

      Pages: 293-309

    • NAID

      120000981479

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Gaugeability for Feynman-Kac functionals with applications to symmetric $alpha$-stable processes2006

    • Author(s)
      Takeda, Masayoshi
    • Journal Title

      Proc. Amer. Math. Soc. (electronic) 134-9

      Pages: 2729-2738

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A trace theorem for Dirichlet forms on fractals2006

    • Author(s)
      Hino, Masanori, Kumagai, Takashi
    • Journal Title

      J. Funct. Anal. 238-2

      Pages: 578-611

    • Related Report
      2006 Annual Research Report
  • [Journal Article] On the range of pinned random walks2006

    • Author(s)
      Hamana, Yuji
    • Journal Title

      ohoku Math. J.(2) 58-3

      Pages: 329-357

    • NAID

      110004762687

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A remark on the range of three dimensional pinned random walks2006

    • Author(s)
      Hamana, Yuji
    • Journal Title

      Kumamoto J. Math. 43-2

      Pages: 239-261

    • Related Report
      2006 Annual Research Report
  • [Journal Article] On some laws of iterated logarithm for Burgers turbulence with Brownian initial data based on the concave majorant2006

    • Author(s)
      Isozaki, Yasuki
    • Journal Title

      Osaka J. Math. 43-2

      Pages: 239-261

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Linear filtering of systems with memory and application to finance2006

    • Author(s)
      Inoue, A., Nakano, Y., Anh, V.
    • Journal Title

      J. Appl. Math. Stoch. Anal. Art. ID53104

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Exchangeable measures for subshifts2006

    • Author(s)
      Aaronson, J., Nakada, H., Sarig, O.
    • Journal Title

      Ann. Inst. H. Poincare Probab. Statist. 42-6

      Pages: 1127-1158

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Gap series and functions of bounded variation2006

    • Author(s)
      Fukuyama, K.
    • Journal Title

      Acta Math. Hungar. 110-3

      Pages: 175-191

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Nash-type inequalities and heat kernels for non-local Dirichlet forms2006

    • Author(s)
      Hu, Jiaxin, Kumagai, Takashi
    • Journal Title

      Kyushu J. Math. 60-2

      Pages: 245-265

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Random walk on the incipient infinite cluster on trees2006

    • Author(s)
      Barlow, Martin T., Kumagai, Takashi
    • Journal Title

      Illinois J. Math. (electronic) 50

      Pages: 33-65

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Stability of parabolic Harnack inequalities on metric measure spaces2006

    • Author(s)
      Barlow, Martin T., Bass, Richard F., Kumagai, Takashi
    • Journal Title

      J. Math. Soc. Japan 58-2

      Pages: 485-519

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Semi-stable processes on local fields2006

    • Author(s)
      Yasuda, Kumi
    • Journal Title

      Tohoku Math. J. (2) 58-3

      Pages: 419-431

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Limit theorems for a diffusion process with a one-sided Brownian potential2006

    • Author(s)
      Kawazu, Kiyoshi, Suzuki, Yuki
    • Journal Title

      J. Appl. Probab. 43-4

      Pages: 997-1012

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A note on the Brownian motion2006

    • Author(s)
      Kawazu, Kiyoshi
    • Journal Title

      From stochastic calculus to mathematical finance, Springer, Berlin

      Pages: 385-392

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Variational formula for Dirichlet forms and estimates of principal eigenvalues for symmetric α-stable processes2005

    • Author(s)
      Takeda, Masayoshi and Shiozawa, Yuichi
    • Journal Title

      Potential Anal. 23

      Pages: 135-151

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Small-time asymptotic estimates in local Dirichlet spaces2005

    • Author(s)
      Hino, Masanori and Ariyoshi, Teppei
    • Journal Title

      Electr. Jour. Probab. 10

      Pages: 1236-1259

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] On singularity of energy measures on self-similar sets2005

    • Author(s)
      Hino, Masanori
    • Journal Title

      Probab. Th. and Rel. Fields 132

      Pages: 265-290

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Variational formula for Dirichlet forms and estimates of principal eigenvalues for symmetric a-stable-processes2005

    • Author(s)
      Takeda, Masayoshi, Shiozawa, Yuichi
    • Journal Title

      Potential Anal 23

      Pages: 135-151

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Small-time asymptotic estimates in local Dirichlet spaces2005

    • Author(s)
      Hino, Masanori, Ariyoshi, Teppei
    • Journal Title

      Electr. Jour. Probab 10

      Pages: 1236-1259

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] On singularity of energy measures on self-similar Sets2005

    • Author(s)
      Hino, Masanori
    • Journal Title

      Probab. Th. and Rel. Fields 132

      Pages: 265-290

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Variational formula for Dirichlet forms and estimates of principal eigenvalues for symmetric α-stable processes.2005

    • Author(s)
      Y.Shiozawa, M.Takeda
    • Journal Title

      Potential Anal. 23・2

      Pages: 135-151

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Small-time asymptotic estimates in local Dirichlet spaces2005

    • Author(s)
      T.Ariyoshi, M.Hino
    • Journal Title

      Electron.J.Probab. 10・37

      Pages: 1236-1259

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Limit theorems for the Wiener sausage2005

    • Author(s)
      Y.Hamana
    • Journal Title

      Sugaku Expositions 18・1

      Pages: 53-73

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Financial markets with memory. II. Innovation processes and expected utility maximization2005

    • Author(s)
      V.Anh, A.Inoue, Y.Kasahara
    • Journal Title

      Stoch.Anal.Appl. 23・2

      Pages: 301-328

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Financial markets with memory. I. Dynamic models2005

    • Author(s)
      V.Anh, A.Inoue
    • Journal Title

      Stoch.Anal.Appl. 23・2

      Pages: 275-300

    • Related Report
      2005 Annual Research Report
  • [Journal Article] On the central limit theorem for non-Archimedean Diophantine approximations2005

    • Author(s)
      E.Deligero, H.Nakada
    • Journal Title

      Manuscripta Math. 117・1

      Pages: 51-64

    • Related Report
      2005 Annual Research Report
  • [Journal Article] On the number of vertices with a given degree in a Galton-Watson tree2005

    • Author(s)
      N.Minami
    • Journal Title

      Adv.in Appl.Probab. 37・1

      Pages: 229-264

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Sampling formulae for symmetric selection2005

    • Author(s)
      K.Handa
    • Journal Title

      Electron.Comm.Probab. 10

      Pages: 223-234

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Parabolicity, the divergence theorem for δ-subharmonic functions and applications to the Liouville theorems for harmonic maps2005

    • Author(s)
      A.Atsuji
    • Journal Title

      Tohoku Math.J.(2) 57・3

      Pages: 353-373

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Characterization of sub-Gaussian heat kernel estimates on strongly recurrent graphs2005

    • Author(s)
      M.Barlow, T.Coulhon, T.Kumagai
    • Journal Title

      Comm.Pure Appl.Math. 58・12

      Pages: 642-1677

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Construction of diffusion processes on fractals, d-sets, and general metric measure spaces2005

    • Author(s)
      T.Kumagai, K-T.Sturm
    • Journal Title

      J.Math.Kyoto Univ. 45・2

      Pages: 307-327

    • Related Report
      2005 Annual Research Report
  • [Journal Article] The probability of two F_q-polynomials to be coprime

    • Author(s)
      Sugita, Hiroshi, TAKANOBU, Satoshi
    • Journal Title

      Proceedings of the International Conference on Probability and Number Theory 2005 in Kanazawa (In press)

    • Related Report
      2006 Annual Research Report
  • [Presentation] モンテカルロ法の数学的定式化2008

    • Author(s)
      杉田 洋
    • Organizer
      数理科学談話会
    • Place of Presentation
      信州大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] モンテカルロ法,乱数,および疑似乱数2008

    • Author(s)
      杉田 洋
    • Organizer
      計算による数理科学の展開2008
    • Place of Presentation
      神戸大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 無限次元空間上のシュレーディンガー作用素の準古典極限2008

    • Author(s)
      会田, 茂樹
    • Organizer
      日本数学会2008年度年会特別講演
    • Place of Presentation
      近畿大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] A mathematical formulation of the Monte Carlo method2008

    • Author(s)
      Sugita, Hiroshi
    • Organizer
      Colloquium of Mathematical Science
    • Place of Presentation
      Shinshu Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] The Monte Carlo method, random number and pseudorandom number2008

    • Author(s)
      Sugita, Hiroshi
    • Organizer
      Development of mathematical science by computation
    • Place of Presentation
      Kobe Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] The Monte Carlo method2008

    • Author(s)
      Sugita, Hiroshi
    • Organizer
      Probability theory summer school
    • Place of Presentation
      Shinshu Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Semi-classical limit of Schroedinger operators on Infinite dimensional space2008

    • Author(s)
      Aida, Shigeki
    • Organizer
      Special lecture in JMS meeting
    • Place of Presentation
      Kinki Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Complexity and Pseudorandomness2007

    • Author(s)
      杉田 洋
    • Organizer
      エルゴード理論とその応用
    • Place of Presentation
      慶応大学日吉キャンパス
    • Year and Date
      2007-12-21
    • Related Report
      2007 Annual Research Report
  • [Presentation] Anderson localization by random vector potentials2007

    • Author(s)
      上木 直昌
    • Organizer
      ランダム作用素のスペクトルの研究
    • Place of Presentation
      京都大学大学院人間・環境学研究科
    • Year and Date
      2007-11-14
    • Related Report
      2007 Annual Research Report
  • [Presentation] Energy level statistics for the Anderson tight binding model2007

    • Author(s)
      南 就将
    • Organizer
      ランダム作用素のスペクトルの研究
    • Place of Presentation
      京都大学大学院人間・環境学研究科
    • Year and Date
      2007-11-14
    • Related Report
      2007 Annual Research Report
  • [Presentation] Uniqueness of the ends, Lioulville property and related topics on minimal submanifolds in Euclidean spaces2007

    • Author(s)
      厚地 淳
    • Organizer
      確率論と幾何学
    • Place of Presentation
      熊本大学教育学部
    • Year and Date
      2007-10-21
    • Related Report
      2007 Annual Research Report
  • [Presentation] 凸領域上のGreen作用素のアダマール変分とある非凸領域上のポアンカレの補題2007

    • Author(s)
      会田 茂樹
    • Organizer
      確率論と幾何学
    • Place of Presentation
      熊本大学教育学部
    • Year and Date
      2007-10-21
    • Related Report
      2007 Annual Research Report
  • [Presentation] Randomization of number theoretic special functions2007

    • Author(s)
      杉田 洋
    • Organizer
      数論と確率論
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-10-15
    • Related Report
      2007 Annual Research Report
  • [Presentation] 樹木の空間への確率測度の導入について2007

    • Author(s)
      南 就将
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      東北大学
    • Year and Date
      2007-09-22
    • Related Report
      2007 Annual Research Report
  • [Presentation] α-連分数変換から作られる確率過程の1-parameter familyのentropyのへんかについて2007

    • Author(s)
      仲田 均, 夏井利恵
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      東北大学
    • Year and Date
      2007-09-21
    • Related Report
      2007 Annual Research Report
  • [Presentation] 大きい間隙を持つ数列{n_kx}のdiscrepancyの従う重複対数の法則2007

    • Author(s)
      福山 克司
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      東北大学
    • Year and Date
      2007-09-21
    • Related Report
      2007 Annual Research Report
  • [Presentation] 2パラメータPoisson-Dirichlet点過程2007

    • Author(s)
      半田 健司
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      東北大学
    • Year and Date
      2007-09-21
    • Related Report
      2007 Annual Research Report
  • [Presentation] モンテカルロ法2007

    • Author(s)
      杉田 洋
    • Organizer
      確率論サマースクール
    • Place of Presentation
      信州大学理学部
    • Year and Date
      2007-08-06
    • Related Report
      2007 Annual Research Report
  • [Presentation] Complexity and Pseudorandomness2007

    • Author(s)
      杉田 洋
    • Organizer
      エルゴード理論とその応用
    • Place of Presentation
      慶應大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 動的ランダム・ワイル・サンプリングについて2007

    • Author(s)
      杉田 洋
    • Organizer
      確率論セミナー
    • Place of Presentation
      東北大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Randomization of number theoretic special functions2007

    • Author(s)
      杉田 洋
    • Organizer
      数論と確率論
    • Place of Presentation
      国際高等研
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] モンテカルロ法2007

    • Author(s)
      杉田 洋
    • Organizer
      確率論サマースクール
    • Place of Presentation
      信州大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] モンテカルロ法,乱数,および疑似乱数について2007

    • Author(s)
      杉田 洋
    • Organizer
      大阪大学理学部同窓会
    • Place of Presentation
      大阪大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Stochastic oscillatory integrals with quadratic phase2007

    • Author(s)
      谷口, 説男
    • Organizer
      DMHF 2007: COE Conference
    • Place of Presentation
      福岡リーセントホテル
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 凸領域上のGreen作用素のアダマール変分とある非凸領域上のポアンカレの補題2007

    • Author(s)
      会田, 茂樹
    • Organizer
      確率論と幾何学
    • Place of Presentation
      熊本大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Hadamard's variation and Poincare's lemma on a certain non-convex domain2007

    • Author(s)
      会田, 茂樹
    • Organizer
      Dirichlet forms, stochastic analysis and interacting Systems, Japan-Germany symposium
    • Place of Presentation
      Berlin
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Hadamard's variation and Poincare's lemma on a certain non-convex domain2007

    • Author(s)
      会田, 茂樹
    • Organizer
      Stochastic analysis, Stochastic differential geometry and applications
    • Place of Presentation
      Swansea Univ.
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Renormalized Rauzy-Veech-Zorich inductions2007

    • Author(s)
      盛田, 健彦
    • Organizer
      Spectral Analysis in Geometry and Number Theory
    • Place of Presentation
      名古屋大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Renormalized RVZ induction2007

    • Author(s)
      盛田, 健彦
    • Organizer
      リーマン面のモジュライの幾何と解析
    • Place of Presentation
      秋田県森林学習交流館プラザクリプトン
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Complexity and pseudorandomness2007

    • Author(s)
      Sugita, Hiroshi
    • Organizer
      Ergodic theory and its Applications
    • Place of Presentation
      Keio Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] On dynamical random Weyl sampling2007

    • Author(s)
      Sugita, Hiroshi
    • Organizer
      Probability seminar
    • Place of Presentation
      Tohoku Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Randomization of number theoretic special Functions2007

    • Author(s)
      Sugita, Hiroshi
    • Organizer
      Number theory and probability theory
    • Place of Presentation
      IIAS
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] The Month Carlo method, random number and pseudorandom number2007

    • Author(s)
      Sugita, Hiroshi
    • Organizer
      The alumni association of Faculty of Science
    • Place of Presentation
      Osaka Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Stochastic oscillatory integrals with quadratic Phase2007

    • Author(s)
      Taniguchi, Setsuo
    • Organizer
      DMHF 2007 : COE Conference
    • Place of Presentation
      Fukuoka Recent Hotel
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Hadamard's variation of Green operator on convex Domain and Poincare's lemma on non-convex domain2007

    • Author(s)
      Aida, Shigeki
    • Organizer
      Probability theory and Geometry
    • Place of Presentation
      Kumamoto Univ.
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Renormalized Rauzy-Veech-Zorich inductions2007

    • Author(s)
      Morita, Takehiko
    • Organizer
      Spectral Analysis in Geometry and Number Theory
    • Place of Presentation
      Nagoya Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Renormalized RVZ induction2007

    • Author(s)
      Morita, Takehiko
    • Organizer
      Geometry and analysis of Moduli of Riemann surface
    • Place of Presentation
      Akita Shinrin Kouryukan Plaza Kripton
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] モンテカルロ法の数学的定式化2006

    • Author(s)
      杉田 洋
    • Organizer
      COE統合数理科学特別セミナー
    • Place of Presentation
      慶応義塾大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] ランダムなdigamma関数と中心極限定理2006

    • Author(s)
      杉田 洋, 高信 敏
    • Organizer
      日本数学会秋季総合分科会統計数学分科会
    • Place of Presentation
      大阪市立大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] ランダムなdigamma関数と中心極限定理2006

    • Author(s)
      杉田 洋
    • Organizer
      確率論セミナー
    • Place of Presentation
      大阪大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 2つのZ/qZ-係数多項式が互いに素である確率2006

    • Author(s)
      杉田 洋, 高信 敏
    • Organizer
      確率論の極限定理の研究
    • Place of Presentation
      九州大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Some Topics Connected Integrability of Feynman-Kac Functionals2006

    • Author(s)
      竹田, 雅好
    • Organizer
      ポテンシャル論とその周辺
    • Place of Presentation
      京都大学数理解析研究所
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Large Deviations for Additive Functionals of Symmetric Stable Processes2006

    • Author(s)
      竹田, 雅好
    • Organizer
      Stochastic Analysis and its Applications
    • Place of Presentation
      京都大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Large Deviations for Additive Functionals of Symmetric Stable Processes2006

    • Author(s)
      竹田, 雅好
    • Organizer
      Probability Theory and Geometry
    • Place of Presentation
      Univ. of Washington
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] h-Transform and its Applications2006

    • Author(s)
      竹田, 雅好
    • Organizer
      マルコフ過程とその周辺
    • Place of Presentation
      金沢大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] The heat semigroup and kernel associated with certain non-commutative harmonic oscillators2006

    • Author(s)
      谷口, 説男
    • Organizer
      確率解析とその周辺
    • Place of Presentation
      京都大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Conditioning quadratic Wiener functionals and Plucker coordinates -with a new example-2006

    • Author(s)
      谷口, 説男
    • Organizer
      確率解析とその周辺
    • Place of Presentation
      京都大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Stochastic oscillatory integrals with quadratic phase function -Plucker coordinate, Brownian sheet-2006

    • Author(s)
      谷口, 説男
    • Organizer
      九州確率論セミナー
    • Place of Presentation
      熊本大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Witten Laplacians on pinned path groups2006

    • Author(s)
      会田, 茂樹
    • Organizer
      確率解析とその周辺
    • Place of Presentation
      京都大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Semi-classical limit of the bottom of spectrum of a Schroedinger operator on a path space over a compact Riemannian manifold2006

    • Author(s)
      会田, 茂樹
    • Organizer
      Probability and Geometry
    • Place of Presentation
      Bonn Univ.
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Semi-classical limit of the bottom of spectrum of a Schroedinger operator on a path space2006

    • Author(s)
      会田, 茂樹
    • Organizer
      Dirichlet forms, Stochastic analysis and interacting systems, Japan-Germany symposium
    • Place of Presentation
      京都大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Semiclassical limit of the lowest eigenvalue of Schroedinger operators in path spaces over Riemannian manifolds2006

    • Author(s)
      会田, 茂樹
    • Organizer
      マルコフ過程の確率解析とその応用
    • Place of Presentation
      関西大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 1次元拡大的Markov系のゼータ関数の有理型接続について2006

    • Author(s)
      盛田, 健彦
    • Organizer
      エルゴード理論の展望
    • Place of Presentation
      三重大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 1次元拡大的Markov写像に関連した転送作用素とゼータ関数2006

    • Author(s)
      盛田, 健彦
    • Organizer
      数理解析の諸相
    • Place of Presentation
      京大会館
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Some results of zeta functions for two-dimensional dispersing open billiards2006

    • Author(s)
      盛田, 健彦
    • Organizer
      力学系理論の最近の発展
    • Place of Presentation
      京都大学数理解析研究所
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Reflecting Ornstein-Uhlenbeck Processes on Path Spaces2006

    • Author(s)
      日野, 正訓
    • Organizer
      Stochastic Analysis and Applications
    • Place of Presentation
      京都大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Martingale dimensions for fractals2006

    • Author(s)
      日野, 正訓
    • Organizer
      Mathematics on Fractals 2006
    • Place of Presentation
      京都大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Reflecting Ornstein-Uhlenbeck Processes on Path Spaces2006

    • Author(s)
      日野, 正訓
    • Organizer
      Conference on Stochastic Analysis and Its Applications
    • Place of Presentation
      Univ. of Washington
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] A mathematical formulation of the Monte Carlo Method2006

    • Author(s)
      Sugita, Hiroshi
    • Organizer
      COE seminar
    • Place of Presentation
      Keio Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Radom digamma function and central limit theorem2006

    • Author(s)
      Sugita, Hiroshi, Takanobu, Satoshi
    • Organizer
      Autumn meeting of JSM
    • Place of Presentation
      Osaka city Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Radom digamma function and central limit theorem2006

    • Author(s)
      Sugita, Hiroshi
    • Organizer
      Probability Seminar
    • Place of Presentation
      Osaka Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] The probability of two Z/qZ-polynomials to be coprime2006

    • Author(s)
      Sugita, Hiroshi, Takanobu, Satoshi
    • Organizer
      Study of limit theorems in probability theory
    • Place of Presentation
      Kyushu Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Some Topics Connected Integrability of Feynman-Kac Functionals2006

    • Author(s)
      Takeda, Masayoshi
    • Organizer
      Potential theory and related fields
    • Place of Presentation
      RIMS Kyoto Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Large Deviations for Additive Functionals of Symmetric Stable Processes2006

    • Author(s)
      Takeda, Masayoshi
    • Organizer
      Stochastic Analysis and its Applications
    • Place of Presentation
      Kyoto Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] h-Transform and its Applications2006

    • Author(s)
      Takeda, Masayosbi
    • Organizer
      Markov processes and related fields
    • Place of Presentation
      Kanazawa Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] The heat semigroup and kernel associated with certain non-commutative harmonic oscillators2006

    • Author(s)
      Taniguchi, Setsuo
    • Organizer
      Stochastic analysis and related fields
    • Place of Presentation
      Kyoto Univ.
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Witten Laplacians on pinned path groups2006

    • Author(s)
      Aida, Shigeki
    • Organizer
      Stochastic analysis and related fields, Probability and Geometry
    • Place of Presentation
      Bonn Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Semi-classical limit of the bottom of spectrum of a Schroedinger operator on a path space2006

    • Author(s)
      Aida, Shigeki
    • Organizer
      Dirichlet forms, Stochastic analysis and interacting systems, Japan-Germany symposium
    • Place of Presentation
      Kyoto Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Semiclassical limit of the lowest eigenvalue of Schroedinger operators in path spaces over Riemannian manifolds2006

    • Author(s)
      Aida, Shigeki
    • Organizer
      Stochastic analysis for Markov processes and applications
    • Place of Presentation
      Kansai Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] On meromorphic continuation of zeta function of one-dimensional expansive Markov map2006

    • Author(s)
      Morita, Takehiko
    • Organizer
      Perspective of ergodic theory
    • Place of Presentation
      Mie Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Transfer operator and zeta function associated With one-dimensional expansive Moarkov map2006

    • Author(s)
      Morita, Takehiko
    • Organizer
      Several aspects of mathematical analysis
    • Place of Presentation
      Kyodai-Kaikan
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Some results of zeta functions for two-dimensional dispersing open billiards2006

    • Author(s)
      Morita, Takehiko
    • Organizer
      Recent development of dynamical systems
    • Place of Presentation
      RIMS Kyoto Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Reflecting Ornstein-Uhlenbeck Processes on Path Spaces2006

    • Author(s)
      Hino, Masanori
    • Organizer
      Stochastic Analysis and Applications
    • Place of Presentation
      Kyoto Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Martingale dimensions for fractals2006

    • Author(s)
      Hino, Masanori
    • Organizer
      Mathematics on Fractals 2006
    • Place of Presentation
      Kyoto Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Reflecting Ornstein-Uhlenbeck Processes on Path Spaces2006

    • Author(s)
      Hino, Masanori
    • Organizer
      Conference on Stochastic Analysis and Its Applications
    • Place of Presentation
      Univ of Washington
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] ランダムなdigamma関数と中心極限定理2005

    • Author(s)
      杉田 洋
    • Organizer
      確率論シンポジウム
    • Place of Presentation
      京都大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Adelic formulation of number theoretic limit theorems2005

    • Author(s)
      杉田 洋, 高信 敏
    • Organizer
      Probability and Number Theory 2005
    • Place of Presentation
      金沢読売会館
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] The principal eigenvalue for time changed processes and its applications2005

    • Author(s)
      竹田, 雅好
    • Organizer
      確率論シンポジウム
    • Place of Presentation
      京都大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Large Deviations for Additive Functionals of Symmetric Stable Processes2005

    • Author(s)
      竹田, 雅好
    • Organizer
      Heat Kernels, Stochastic Processes and Functional Inequalities
    • Place of Presentation
      Oberwolfach数学研究所
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Principal eigenvalue for time changed processes and its applications2005

    • Author(s)
      竹田, 雅好
    • Organizer
      確率論とPDE
    • Place of Presentation
      北海道大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Stochastic analysis and the KdV equation2005

    • Author(s)
      谷口, 説男
    • Organizer
      International coference on stochastic analysis and partial differential equations
    • Place of Presentation
      Northwestern Univ.
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Gross's log-Sobolev inequalities and semi-classical analysis on pinned path groups2005

    • Author(s)
      会田, 茂樹
    • Organizer
      Dirichlet forms, Stochastic analysis and interacting systems, Japan-Germany symposium
    • Place of Presentation
      Bielefeld Univ.
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Logarithmic Sobolev inequalities and semi-classical analysis on loop spaces2005

    • Author(s)
      会田, 茂樹
    • Organizer
      日本数学会秋期総合分科会
    • Place of Presentation
      岡山大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Semiclassical limit of the lowest eigenvalue of Schroedinger operators in path spaces over Riemannian manifolds2005

    • Author(s)
      会田, 茂樹
    • Organizer
      確率論と幾何学
    • Place of Presentation
      東北大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] On the exponential mixing of a class of symbolic flows2005

    • Author(s)
      盛田, 健彦
    • Organizer
      確率論シンポジウム
    • Place of Presentation
      京都大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Singular perturbation of symbolic dynamics via thermodynamic formalism2005

    • Author(s)
      盛田, 健彦
    • Organizer
      エルゴード理論と記号力学系
    • Place of Presentation
      熊本大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Renormalized Rauzy inductions.2005

    • Author(s)
      盛田, 健彦
    • Organizer
      International conference of probability and number theory 2005
    • Place of Presentation
      金沢読売会館
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] On singularity of energy measures on self-similar sets2005

    • Author(s)
      日野, 正訓
    • Organizer
      2nd Conference on Analysis and Probability on Fractals
    • Place of Presentation
      Cornell Univ.
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Radom digamma function and central limit theorem2005

    • Author(s)
      Sugita, Hiroshi
    • Organizer
      Probability symposium
    • Place of Presentation
      Kyoto Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Adelic formulation of number theoretic limit theorems2005

    • Author(s)
      Sugita, Hiroshi, Takanobu, Satoshi
    • Organizer
      Probability and Number theory
    • Place of Presentation
      Kanazawa Yomiuri Kaikan
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] The principal eigenvalue for time changed processes and its applications2005

    • Author(s)
      Takeda, Masayoshi
    • Organizer
      Probability Symposium
    • Place of Presentation
      Kyoto Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Large Deviations for Additive Functionals of Symmetric Stable Processes2005

    • Author(s)
      Takeda, Masayoshi
    • Organizer
      Heat Kernels, Stochastic Processes and Functional Inequalities
    • Place of Presentation
      Oberwolfach
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Principal eigenvalue for time changed processes and its applications2005

    • Author(s)
      Takeda, Masayosbi
    • Organizer
      Probability theory and PDE
    • Place of Presentation
      Hokkaido Univ.
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Stochastic oscillatory integrals with quadratic phase function-Plucker coordinate, Brownian sheet-2005

    • Author(s)
      Taniguchi, Setsuo
    • Organizer
      Kyushu Probability Seminar
    • Place of Presentation
      Kumamoto Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Stochastic analysis and the KdV equation2005

    • Author(s)
      Taniguchi, Setsuo
    • Organizer
      International conference on stochastic analysis and partial differential equations
    • Place of Presentation
      Northwestern Univ.
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Gross's log-Sobolev inequalities and semi-classical analysis on pinned path groups2005

    • Author(s)
      Aida, Shigeki
    • Organizer
      Dirichlet forms, Stochastic analysis and interacting systems, Japan-Germany symposium
    • Place of Presentation
      Bielefeld Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Logarithmic Sobolev inequalities and semi-classical analysis on loop spaces2005

    • Author(s)
      Aida, Shigeki
    • Organizer
      Autumn meeting of JMS
    • Place of Presentation
      Okayama Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Semiclassical limit of the lowest eigenvalue of Schroedinger operators in path spaces over Riemannian manifolds2005

    • Author(s)
      Aida, Shigeki
    • Organizer
      Probability theory and Geometry
    • Place of Presentation
      Tohoku Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] On the exponential mixing of a class of symbolic Flows2005

    • Author(s)
      Morita, Takehiko
    • Organizer
      Probability Symposium
    • Place of Presentation
      Kyoto Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Singular perturbation of symbolic dynamics via thermodynamic formalism2005

    • Author(s)
      Motita, Takehiko
    • Organizer
      Ergodic theory and symbolic dynamical systems
    • Place of Presentation
      Kumamoto Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Renormalized Rauzy inductions2005

    • Author(s)
      Morita, Takehiko
    • Organizer
      International conference of probability and number theory 2005
    • Place of Presentation
      Kanazawa Yomiuri Kaikan
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] On singularity of energy measures on self-similar sets2005

    • Author(s)
      Hino, Masanori
    • Organizer
      2nd Conference on Analysis and Probability on Fractals
    • Place of Presentation
      Cornell Univ
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Book] マルコフ過程2008

    • Author(s)
      竹田雅好, 福島正俊
    • Total Pages
      281
    • Publisher
      培風館
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Book] 技術に生きる現代数学2008

    • Author(s)
      谷口説男, 他(若山正人編)
    • Total Pages
      226
    • Publisher
      岩波書店
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Book] Probability and Number theory - Kanazawa 2005, ASPM 492007

    • Author(s)
      杉田洋, 松本耕二, ほか
    • Total Pages
      558
    • Publisher
      日本数学会/東京書籍
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Book] Probability and Number theory-Kanazawa 2005, ASPM 492007

    • Author(s)
      杉田洋, 松本耕二, ほか
    • Total Pages
      558
    • Publisher
      日本数学会/東京書籍
    • Related Report
      2007 Annual Research Report
  • [Remarks] 「研究成果報告書概要(和文)」より

    • URL

      http://homepage.mac.com/hiroshi_sugita/math_kakenhi.html

    • Related Report
      2007 Final Research Report Summary
  • [Remarks]

    • URL

      http://homepage.mac.com/hiroshi_sugita/math_kakenhi.html

    • Related Report
      2007 Annual Research Report

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Published: 2005-04-01   Modified: 2016-04-21  

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