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Research on Dynamical Systems, Chaos and Fractals Modeled by Billiard Systems in Aspect of Global Analysis

Research Project

Project/Area Number 13440056
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Global analysis
Research InstitutionHiroshima Institute of Technology (2003)
Hiroshima University (2001-2002)

Principal Investigator

KUBO Izumi  Hiroshima Institute of Technology, Faculty of Environmental Studies, Professor, 環境学部, 教授 (70022621)

Co-Investigator(Kenkyū-buntansha) INNAMI Nobuhiro  Niigata University, Faculty of Science, Professor, 理学部, 教授 (20160145)
YURI Michiko  Sappro University, Faculty of Business Administration, Professor, 経営学部, 教授 (70174836)
MORITA Takehiko  Hiroshima Institute of Technology, Graduate School of Science, Professor, 大学院・理学研究科, 教授 (00192782)
SHISHIKURA Hiromitsu  Kyoto University, Graduate School of Science, Professor, 大学院・理学研究科, 教授 (70192606)
TASAKI Shuichi  Waseda University, School of Science and Engineering, Professor, 理工学部, 教授 (10260150)
那須 正和  広島大学, 大学院・工学研究科, 教授 (20006258)
Project Period (FY) 2001 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥11,300,000 (Direct Cost: ¥11,300,000)
Fiscal Year 2003: ¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 2002: ¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 2001: ¥4,100,000 (Direct Cost: ¥4,100,000)
KeywordsBilliard System / Discreet Dynamical System / Chaos / Fractal / Symbolic Dynamical System / Classical Dynamical System / Complex Dynamical System / 1-Dimensional Dynamical System / エントロピー / エルゴード理論
Research Abstract

We have improved the proof of the existence of Lipschitz continuous invariant foliations for two dimensional dispersing billiards without eclipse and make it more constructive and more elementary. This may give a new progress in applications. We introduced the geometry of geodesies due to Busemann to study the billiard ball trajectories in their configuration spaces. In particular, we found out some relations between parallels and periodic trajectories. Moreover, we observed interesting phenomena of billiard systems in a closed curve given by |x/a|^r+|y/b|^r=1(r>1) with computer simulations. Its Poincare map gives a lot of information, by which those phenomena may be proved.
In hyperbolic and intermittent maps regarded as toy models of classical periodic billiards, transports are found to be characterized by the spectra of the Frobenius-Perron operator. Furthermore, we researched the relationship between boundary elements method and scattering problems in quantum billiards.
We studied the renormalization associated to indifferent periodic points of complex dynamics. We were able to define a new space of maps which is invariant under parabolic renormalization and its perturbations.
We observed large deviations for countable to one piecewise invertible Markov systems. In particular, we showed the(level 2)upper large deviation bounds and exponential decreasing property under certain conditions. Moreover, we researched multifractal version of large deviation laws.
Further, we have succeeded to prove the conjecture by Boyle and Maass. We can construct a one-parameter family of complex structures with critical point at the point the recurrence and the transience switch to the other. We showed that freedom of deformation to preserve recurrence at the point is relatively low. As related topics to Quantum Chaos and so on, we have been studying the theory of operator algebras itself and obtained several results in the subject.

Report

(4 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • Research Products

    (185 results)

All Other

All Publications (185 results)

  • [Publications] Nobuhiro Asai: "Multiplicative renormalization and generating functions II"Taiwanese Journal of Mathematics. 84. (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] J.-Y.Briend: "Linearity of the exceptional set for maps"Math.Ann.2004. (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Tomoki Inoue: "Ergodic sums of non-integrable functions under one-dimensional dynamical systems with indifferent fixed"Ergodic Theory and Dynamical Systems. (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shuichi Tasaki: "Control of Decoherene : dynamical decoupling vs quantum Zeno effect"International Journal of Quantum Chemistry. (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shuichi Tasaki: "On entropy production of a one-dimensional lattice conductor"Quantum Information V. (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shuichi Tasaki: "On Prigogine's Approaches to Irreversibility-A case study by the baker map-"Discrete Dynamics in Nature and Society. (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Izumi Kubo: "Generating functions of exponential type for orthogonal polynomials"Infinite Dimensional Analysis, Quantum Probability and Related Topics. 71. 155-159 (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Michiko Yuri: "Thermodynamic Formalism for countable to one Markov System"Transactions of the American Mathematical Society. 3557. 2949-2917 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Michiko Yuri: "Weak Gibbs measures for Internittent Systems and Weakly Gibbsian States in Statistical Mechanics"Communications in Mathematical Physics. 241. 453-466 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Takehiko Morita: "Piecewise $C^2$ perturbation of Lasota-Yorke maps and their ergodic properties"Osaka J.Math.. 40. 207-233 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Nobuhiro Asai: "Gaussian and Poisson White noises with related characterization theorems"Contemporary Mathematics, American Mathematical Society. 317. 45-56 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Nobuhiro Asai: "Multiplicative renormalization and generating functions I"Taiwanese Journal of Mathematics. 71. 89-101 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Satoshi Ikeda: "Impact of Local Topological Information on Random Walks on Finite Graphs"Thirtieth International Colloquium on Automata, Languages and Programming 2. 203-207 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Satoshi Ikeda: "Reducing the Hitting and the Cover Times of Random Walks on Finite Graphs by Local Topological Information"Proceedings of The 2003 International Conference on VLSI. 203-207 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Nobuhiro Asai: "Generating functions of orthogonal polynomials and Szeg\"o-Jacobi parameters"Prob.Math.Stat.. 27-291 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Yoshimichi Ueda: "Fullness, Connes' $\chi$-groups, and ultra-products of amalgamated free products over Cartan subalgebras"Trans Amer.Math.Soc.. 355. 349-371 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Fumio Hiai: "Automorphisms of free product type and their crossed-products"J. Operator Theory. 50 1. 119-130 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Yoshimichi Ueda: "Free product actions and their applications"Quantum Probability and White Noise Analysis. 16. 388-411 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shuichi Tasaki: "Spectral characterization of anomalous diffusion of a periodic piecewise linear intermittent map"Physica. D 183. 205-219 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Makino: "Non-Poissonian Level Spacing of Classically Integrable Quantum Systems Based on the Berry-Robnik Approach"Progress of Theoretical Physics, Supplement. 150. 376-380 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Makino: "Derivation from Berry-Robnik distribution caused by spectral accumulation"Journal of Physical Society of Japan. 72-C. 97-100 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] M.Fujiyoshi: Friedrichs model with singular continuous spectrum. 72-C. 73-76 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Y.Okada: "Can one determine the shape of a quantum billiard table through the eigenenergies and resonances?"Progress of Theoretical Physics, Supplement. 150. 397-400 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shuichi Tasaki: "Fluctuation Theorem, Nonequilibrium Steady States and MacLennan-Zubarev Ensembles of a Class of Large Quantum Systems"Fundamental Aspects of Quantum Physics. 100-119 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Makino: "Level spacing statistics of classically integrable systems : Investigation along the lines of the Berry-Robnik approach"Physical Review. E6706. 6205 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] M.Pollicott: "Zeta Functions for Certain Multi-Dimensional Non-Hyperbolic Maps"Nonlinearity. 145. 1265-1278 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Michiko Yuri: "On the Speed of Convergence to Equilibrium States for Multi-Dimensional Maps with Indifferent Periodic Points"Nonlinearity. 152. 429-445 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Michiko Yuri: "Multifractal Analysis of Weak Gibbs Measures for Intermittent Systems"Communications in Mathematical Physics. 2302. 365-388 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Michiko Yuri: "Weak Gibbs measures and the local product structure"Ergodic Theory and Dynamical Systems. 22. 1933-1955 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Nobuhiro Innami: "Geometry of geodesics for convex billiards and circular billiards"Nihonkai Math. J.. 131. 73-120 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Mitsuhiro Shishikura: "Minimal sets of certain annular homeomorphisms"Hiroshima Math. J.. 322. 207-215 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Masakazu Nasu: "The dynamics of expansive invertible onesided cellular automata"Trans.Amer.Math.Soc.. 354. 4067-4084 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Satoshi Ikeda: "Fair Circulation of a Token"IEEE Transactions on Parallel and Distributed Systems. 134. 367-372 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Nobuhiro Asai: "Segal-Bargmann transforms of one-mode interacting Fock spaces associated with Gaussian and Poisson measures"Proc.Amer.Math.Soc.. 1313. 815-823 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shuichi Tasaki: "Thermodynamic Behaviors of Large Dynamical Systems -quantum 1d conductor and classical multibaker map-"in "Dynamics of Dissipations", Lecture Notes in Physics. 597. 395-412 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shuichi Tasaki: "Spectral Properties of a Piecewise Linear Intermittent Map"Journal of Statistical Physics. 109. 803-820 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shuichi Tasaki: "Irreversibility in Reversible Multibaker Maps"Advances in Chemical Physics. 122. 77-107 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Honda: "Relaxation phenomenon measured as dynamic specific heat in the first-order phase transition of molecular crystal"Physical Review B. 65. 149-166 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] D.Shlyakhtenko: "Irreducible subfactors of $L(F_\infty)$ of index $\lambda > 4$"J.reine angew.Math.. 149-166 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] M.Pollicott: "Statistical properties of maps with indifferent periodic points"COMMUNICATIONS IN MATHEMATICAL PHYSICS. 2173. 503-520 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Takehiko Morita: "Construction of K-stable foliations for two-dimensional dispersing Billiards without eclipse"J.Math.Soc.Japan.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Nobuhiro Innami: "Jacobi vector fields along geodesics in glued Riemannian manifolds"Nihonkai Math. J.. 121. 101-112 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Nobuhiro Innami: "Gradient vector fields which characterize warped products"Math.Scand. 882. 182-192 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Nobuhiro Asahi: "General characterization theorems and intrinsic topologies in white noise analysis"Hiroshima Mathematical Journal. 31. 299-330 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Nohuhiro Asahi: "Roles of log-concavity, log-convexity, and growth order in white noise analysis"Infinite Dimiensional Analysis, Quantum Probability and Related Topics. 41. 59-84 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shuichi Tasaki: "Current Fluctuations in Nonequilibrium Steady States for a One-Dimensional Lattice Conductor"in "Quantum Information III". 157-176 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shuichi Tasaki: "Nonequilibrium stationary states of noninteracting electrons in a one-dimensional lattice"Chaos, Solitons and Fractals. 122. 2657-2674 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] P.Gaspard: "Liouvillian dynamics of the Hopf bifurcation"Physical Review E. 64055. 6232 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Tomoki Inoue: "Correction to 'Ratio ergodic theorems for maps with indifferent fixed points'"Ergod. Theory and Dynamical Systems.. 21. 1273-1273 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Yoshimichi Ueda: "Remarks on free products with respect to non-tracial states"Math.Scand.. 88. 111-125 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Nobuhiro Asai: "Multiplicative renormalization and generating functions II"Taiwanese Journal of Mathematics. 8,4(to appear). (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] J.-Y.Briend: "Linearity of the exceptional set for maps of P^k(C)"Math.Ann.. (to appear). (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Tomoki Inoue: "Ergodic sums of non-integrable functions under one-dimensional dynamical systems with indifferent fixed points"Ergodic Theory and Dynamical Systems. (to appear). (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shuichi Tasaki: "Control of Decoherence : dynamical decoupling vs quantum Zeno effect"International Journal of Quantum Chemistry. (to appear). (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shuichi Tasaki: "On entropy production of a one-dimensional lattice conductor"Quantum Information V. (to appear). (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shuichi Tasaki: "On Prigogine's Approaches to Irreversibility -A case study by the baker map-"Discrete Dynamics in Nature and Society. (to appear). (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Izumi Kubo: "Generating functions of exponential type for orthogonal polynomials"Infinite Dimensional Analysis, Quantum Probability and Related Topics. 7,1. 1-5 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Michiko Yuri: "Thermodynamic Formalism for countable to one Markov System"Transactions of the American Mathematical Society. 7. 2949-2971 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Michiko Yuri: "Weak Gibbs measures for Intermittent Systems and Weakly Gibbsian States in Statistical Mechanics"Communications in Mathematical Physics. 241. 453-466 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Takehiko Morita: "Piecewise C^2 perturbation of Lasota-Yorke maps and their ergodic properties"Osaka J.Math.. 40. 207-233 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Nobuhiro Asai: "Gaussian and Poisson white noises with related characterization theorems"Contemporary Mathematics, American Mathematical Society. 317. 45-56 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Nobuhiro Asai: "Multiplicativere normalization and generating functions I"Taiwanese Journal of Mathematics. 7,1. 89-101 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Satoshi Ikeda: "Impact of Local Topological Information on Random Walks on Finite Graphs"Thirtieth International Colloquium on Automata, Languages and Programming. 1054-1067 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Satoshi Ikeda: "Reducing the Hitting and the Cover Times of Random Walk on Finite Graph by Local Topological Information"Proceedings of The 2003 International Conference on VLSI. 203-207 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Nobuhiro Asai: "Generating functions of orthogonal polynomials and Szego-Jacobi parameters"Prob.Math.Stat.. 23,2. 27-291 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Yoshimichi Ueda: "Fullness, Connes1 $\chi$-groups, and ultra-products of amalgamated free products over Cartan subalgebras"Trans Amer.Math.Soc.. 355. 349-371 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Fumio Hiai: "Automorphisms of free product type and their crossed-products"J.Operator Theory. 50,1. 119-130 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Yoshimichi Ueda: "Free product actions and their applications"Quantum Probability and White Noise Analysis. 16. 388-411 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Makino: "Level spacing statistics of classically integrable systems : Investigation along the lines of the Berry-Robnik approach"Physical Review. E67. 066205 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shuichi Tasaki: "Spectral characterization of anomalous diffusion of a periodic piecewise linear intermittent map"Physica D. D183. 205-219 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Makino: "Non-Poissonian Level Spacing of Classically Integrable Quantum Systems Based on the Berry-Robnik Approach"Progress of Theoretical Physics. (Supplement)No.150. 376-380 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Makino: "Derivation from Berry-Robnik distribution caused by spectral accumulation"Journal of Physical Society of Japan. 72(Supplement C). 97-100 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] M.Fujiyoshi: "Friedrichs model with singular continuous spectrum"Journal of Physical Society of Japan. 72(Supplement C). 73-76 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Y.Okada: "Can one determine the shape of a quantum billiard table through the eigenenergies and resonances?"Progress of Theoretical Physics. (Supplement)No.150. 397-400 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shuichi Tasaki: "Fluctuation Theorem, Nonequilibrium Steady States and MacLennan-Zubarev Ensembles of a Class of Large Quantum Systems"Fundamental Aspects of Quantum Physics. 100-119 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] M.Pollicott: "Zeta Functions for Certain Multi-Dimensional Non-Hyperbolic MapsMichiko"Nonlinearity. 14,5. 1265-1278 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Yuri: "On the Speed of Convergence to Equilibrium States for Multi-Dimensional Maps with Indifferent Periodic Points"Nonlinearity. 15,2. 429-445 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Michiko Yuri: "Multifractal Analysis of Weak Gibbs Measures for Intermittent Systems"Comm.in Math.Physics. 230,2. 365-388 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Michiko Yuri: "Weak Gibbs measures and the local product structure"Ergodic Theory and Dynamical Systems. 22. 1933-1955 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Nobuhiro Innami: "Geometry of geodesies for convex billiards and circular billiards"Nihonkai Math.J.. 13,1. 73-120 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Mitsuhiro Shishikura: "Minimal sets of certain annular homeomorphisms"Hiroshima Math.J.. 32,2. 207-215 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Masakazu Nasu: "The dynamics of expansive invertible onesided cellular automata"Trans Amer.Math.Soc.. 354. 4067-4084 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Satoshi Ikeda: "Fair Circulation of a Token"IEEE Transactions on Parallel and Distributed Systems. 13,4. 367-372 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Nobuhiro Asai: "Segal-Bargmann transforms of one-mode interacting Fock spaces associated with Gaussian and Poisson measures"Proc.Amer.Math.Soc.. 131,3. 815-823 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shuichi Tasaki: "Thermodynamic Behaviors of Large Dynamical Systems-quantum Id conductor and classical multibaker map-"Dynamics of Dissipation, Lecture Notes in Physics. 597. 395-412 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shuichi Tasaki: "Spectral Properties of a Piecewise Linear Intermittent Map"Journal of Statistical Physics. 109. 803-820 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shuichi Tasaki: "Irreversibility in Reversible Multibaker Maps"Advances in Chemical Physics. 122. 77-107 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Honda: "Relaxation phenomenon measured as dynamical specific heat in first-order phase transition of molecular crystal"Physical Review. 65,10. 4112-4120 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] D.Shlyakhtenko: "Irreducible sub factors of L(F_∞) of index λ>4"J.reine angew.Math.. 149-166 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] M.Pollicott: "Statistical properties of maps with indifferent periodic points"Communications in Mathematical Physics. 217,3. 503-520 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Takehiko Morita: "Construction of K-stable foliations for two-dimensional dispersing billiards without eclipse"J.Math.Soc.Japan.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Nobuhiro Innami: "Jacobi vector fields along geodesies in glued Riemannian manifolds"Nihonkai Math.J.. 12,1. 101-112 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Nobuhiro Innami: "Gradient vector fields which characterize warped products"Math.Scand. 88,2. 182-192 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Nobuhiro Asai: "General characterization theorems and intrinsic topologies in white noise analysis"Hiroshima Math.J.. 31. 299-330 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Nobuhiro Asai: "Roles of log-concavity, log-convexity, and growth order in white noise analysis"Infinite Dimensional Analysis, Quantum Probability and Related Topics. 4,1. 59-84 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shuichi Tasaki: "Current Fluctuations in Nonequilibrium Steady States for a One-Dimensional Lattice Conductor"Quantum Information III. 157-176 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shuichi Tasaki: "Nonequilibrium stationary states of noninteracting electrons in a one-dimensional lattice"Chaos, Solitons and Fractals. 122. 2657-2674 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Caspard: "Liouvillian dynamics of the Hopf bifurcation"Physical Review E. 6405. 6232-6248 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Tomoki Inoue: "Correction to Ratio ergodic theorems for maps with indifferent fixed points"Ergod.Theory and Dynamical Systems. 21. 1273-1273 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Yoshimichi Ueda: "Remarks on free products with respect to non-tracial states"Math.Scand.. 88. 111-125 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Nobuhiro Asai: "Multiplicative renormalization and generating functions II"Taiwanese Journal of Mathematics. 8・4. (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] J.-Y, Briend: "Linearity of the exceptional set for maps"Math.Ann.2004. (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Tomoki Inoue: "Ergodic sums of non-integrable functions under one-dimensional dynamical systems with indifferent fixed"Ergodic Theory and Dynamical Systems. (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Shuichi Tasaki: "Control of Decoherence : dynamical decoupling vs quantum Zeno effect"International Journal of Quantum Chemistry. (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Shuichi Tasaki: "On entropy production of a one-dimensional lattice conductor"Quantum Information V. (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Shuichi Tasaki: "On Prigogine's Approaches to Irreversibility - A case study by the baker map -"Discrete Dynamics in Nature and Society. (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Izumi Kubo: "Generating functions of exponential type for orthogonal polynomials"Infinite Dimensional Analysis, Quantum Probability and Related Topics. 7・1. 155-159 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Michiko Yuri: "Thermodynamic Formalism for countable to one Markov System"Transactions of the American Mathematical Society. 355・7. 2949-2917 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Michiko Yuri: "Weak Gibbs measares for Internittent Systems and Weakly Gibbsian States in Statis tical Mechanics"Communications in Mathematical Physics. 241. 453-466 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Takehiko Morita: "Piecewise $C^2$ perturbation of Lasota-Yorke maps and their ergodic properties"Osaka J.Math.. 40. 207-233 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Nobuhiro Asai: "Gaussian and Poisson white noises with related characterization theorems"Contemporary Mathematics, American Mathematical Society. 317. 45-56 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Nobuhiro Asai: "Multiplicative renormalization and generating functions I"Taiwanese Journal of Mathematics. 7・1. 89-101 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Satoshi Ikeda: "Impact of Local Topological Information on Random Walks on Finite Graphs"Thirtieth International Colloquium on Automata, Languages and Programming2. 203-207 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Satoshi Ikeda: "Reducing the Hitting and the Cover Times of Random Walk on Finite Graph by Local Topological Information"Proceedings of The 2003 International Conference on VLSI. 203-207 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Nobuhiro Asai: "Generating functions of orhtogonal polynomials and Szeg\"o-Jacobi parameters"Prob.Math.Stat.. 27-291 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Yoshimichi Ueda: "Fullness, Connes' $\chi$-groups, and ultra-products of amalgamated free products over Cartan subalgebras"Trans Amer.Math.Soc.. 355. 349-371 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Fumio Hiai: "Automorphisms of free product type and their crossed-products"J.Operator Theory. 50・1. 119-130 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Yoshimichi Ueda: "Free product actions and their applications"Quantum Probability and White Noise Analysis. 16. 388-411 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Shuichi Tasaki: "Spectral characterization of anomalous diffusion of a periodic piecewise linear intermittent map"Physica. D 183. 205-219 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Makino: "Non-Poissonian Level Spacing of Classically Integrable Quantum Systems Based on the Berry-Robnik Approach"Progress of Theoretical Physics, Supplement. 150. 376-380 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Makino: "Derivation from Berry-Robnik distribution caused by spectral accumulation"Journal of Physical Society of Japan. 72-C. 97-100 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] M.Fujiyoshi: Friedrichs model with singular continuous spectrum. 72-C. 73-76 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.Okada: "Can one determine the shape of a quantum billiard table through the eigenenergies and resonances?"Progress of Theoretical Physics, Supplement. 150. 397-400 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Shuichi Tasaki: "Fluctuation Theorem, Nonequilibrium Steady States and MacLennan-Zubarev Ensembles of a Class of Large Quantum Systems"Fundamental Aspects of Quantum Physics. 100-119 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Makino: "Level spacing statistics of classically integrable systems : Investigation along the lines of the Berry-Robnik approach"Physical Review. E67・06. 6205 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] M.Pollicott: "Zeta Functions for Certain Multi-Dimensional Non-Hyperbolic Maps"Nonlinearity. 14・5. 1265-1278 (2002)

    • Related Report
      2003 Annual Research Report
  • [Publications] Michiko Yuri: "On the Speed of Convergence to Equilibrium States for Multi-Dimensional Maps with Indifferent Periodic Points"Nonlinearity. 15・2. 429-445 (2002)

    • Related Report
      2003 Annual Research Report
  • [Publications] Michiko Yuri: "Multifractal Analysis of Weak Gibbs Measures for Intermittent Systems"Communications in Mathematical Physics. 230・2. 365-388 (2002)

    • Related Report
      2003 Annual Research Report
  • [Publications] Michiko Yuri: "Weak Gibbs measures and the local product structure"Ergodic Theory and Dynamical Systems. 22. 1933-1955 (2002)

    • Related Report
      2003 Annual Research Report
  • [Publications] Nobuhiro Innami: "Geometry of geodesics for convex billiards and circular billiards"Nihonkai Math.J.. 13・1. 73-120 (2002)

    • Related Report
      2003 Annual Research Report
  • [Publications] Mitsuhiro Shishikura: "Minimal sets of certain annular homeomorphisms"Hiroshima Math.J.. 32・2. 207-215 (2002)

    • Related Report
      2003 Annual Research Report
  • [Publications] Masakazu Nasu: "The dynamics of expansive invertible onesided cellular automata"Trans.Amer.Math.Soc.. 354. 4067-4084 (2002)

    • Related Report
      2003 Annual Research Report
  • [Publications] Satoshi Ikeda: "Fair Circulation of a Token"IEEE Transactions on Parallel and Distributed Systems. 13・4. 367-372 (2002)

    • Related Report
      2003 Annual Research Report
  • [Publications] Nobuhiro Asai: "Segal-Bargmann transforms of one-mode interacting Fock spaces associated with Gaussian and Poisson measures"Proc.Amer.Math.Soc.. 131・3. 815-823 (2002)

    • Related Report
      2003 Annual Research Report
  • [Publications] Shuichi Tasaki: "Thermodynamic Behaviors of Large Dynamical Systems - quantum 1d conductor and classical multibaker map-"in "Dynamics of Dissipation", Lecture Notes in Physics. 597. 395-412 (2002)

    • Related Report
      2003 Annual Research Report
  • [Publications] Shuichi Tasaki: "Spectral Properties of a Piecewise Linear Intermittent Map"Journal of Statistical Physics. 109. 803-820 (2002)

    • Related Report
      2003 Annual Research Report
  • [Publications] Shuichi Tasaki: "Irreversibility in Reversible Multibaker Maps"Advances in Chemical Physics. 122. 77-107 (2002)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Honda: "Relaxation phenomenon measured as dynamical specific heat in first-order phase transition of molecular crystal"Physical Review B. 65. 149-166 (2002)

    • Related Report
      2003 Annual Research Report
  • [Publications] D.Shlyakhtenko: "Irreducible subfactors of $L(F_\infty)$ of index $\lambda > 4$"J.reine angew.Math.. 149-166 (2002)

    • Related Report
      2003 Annual Research Report
  • [Publications] M.Pollicott: "Statistical properties of maps with indifferent periodic points"COMMUNICATIONS IN MATHEMATICAL PHYSICS. 217・3. 503-520 (2002)

    • Related Report
      2003 Annual Research Report
  • [Publications] Takehiko Morita: "Construction of K-stable foliations for two-dimensional dispersing Billiards without eclipse"J.Math.Soc.Japan. 56-3. 803-831 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Nobuhiro Innami: "Jacobi vector fields along geodesics in glued Riemannian manifolds"Nihonkai Math.J.. 12・1. 101-112 (2001)

    • Related Report
      2003 Annual Research Report
  • [Publications] Nobuhiro Innami: "Gradient vector fields which characterize warped products"Math.Scand. 88・2. 182-192 (2001)

    • Related Report
      2003 Annual Research Report
  • [Publications] Nobuhiro Asahi: "General characterization theorems and intrinsic topologies in white noise analysis"Hiroshima Mathematical Journal. 31. 299-330 (2001)

    • Related Report
      2003 Annual Research Report
  • [Publications] Nobuhiro Asahi: "Roles of log-concavity, log-convexity, and growth order in white noise analysis"Infinite Dimiensional Analysis, Quantum Probability and Related Topics. 4・1. 59-84 (2001)

    • Related Report
      2003 Annual Research Report
  • [Publications] Shuichi Tasaki: "Current Fluctuations in Nonequilibrium Steady States for a One-Dimensional Lattice Conductor"Quantum Information III. 157-176 (2001)

    • Related Report
      2003 Annual Research Report
  • [Publications] Shuichi Tasaki: "Nonequilibrium stationary states of noninteracting electrons in a one-dimensional lattice"Chaos, Solitons and Fractals. 122. 2657-2674 (2001)

    • Related Report
      2003 Annual Research Report
  • [Publications] P.Gaspard: "Liouvillian dynamics of the Hopf bifurcation"Physical Review E. 6405・5. 6232 (2001)

    • Related Report
      2003 Annual Research Report
  • [Publications] Tomoki Inoue: "Correction to 'Ratio ergodic theorems for maps with indifferent fixed points'"Ergod.Theory and Dynamical Systems.. 21. 1273-1273 (2001)

    • Related Report
      2003 Annual Research Report
  • [Publications] Yoshimichi Ueda: "Remarks on free products with respect to non-tracial states"Math.Scand.. 88. 111-125 (2001)

    • Related Report
      2003 Annual Research Report
  • [Publications] Nobuhiro Asai: "Multiplicative renormalization and generating functions I"Taiwanese Journal of Mathematics. (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Nobuhiro Asai: "Segal-Bargmann transforms of one-mode interacting Fock spaces associated with Gaussian and Poisson measures"Proc. Amer. Math. Soc.. (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Nobuhiro Asai: "Gaussian and Poisson white noises with related characterization theorems"Contemporary Mathematics. 317. (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] H.Honda: "Two-phase coexisting state of n-hexatriacontane in the first-order phase transition"Thermochimica Acta. (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Tomoki Inoue: "Ergodic sums of non-integrable functions under one-dimensional dynamical systems with indifferent fixed points"Ergodic Theory and Dynamical Systems. (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Takehiko Morita: "Piecewise $C^2$ perturbation of Lasota-Yorke maps and their ergodic properties"Osaka J. Math. 40. 207-233 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Shuichi Tasaki: "On entropy production of a one-dimensional lattice conductor"Quantum Information. V. (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Shuichi Tasaki: "Fluctuation Theorem, Nonequilibrium Steady States and MacLennan-Zubarev Ensembles of a Class of Large Quantum Systems"Fundamental Aspects of Quantum Physics. (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Yoshimichi Ueda: "Free product actions and their applications"Quantum Probability and White Noise Analysis. 16. (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Yoshimichi Ueda: "Fullness, Connes' $\chi$-groups, and ultra-products of amalgamated free products over Cartan subalgebras"Trans Amer. Math. Soc.. 355. 349-371 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Yoshimichi Ueda: "Automorphisms of free product-type and their crossed-products"J. Operator Theory. (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] H.Honda: "Relaxation phenomenon measured as dynamical specific heat in first-order phase transition of molecular crystal"Physical Review. B65(10). 104112 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Satoshi Ikeda: "Fair Circulation of a Token"IEEE Transactions on Parallel and Distributed Systems. 4. 367-372 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Nobuhiro Innami: "Geometry of geodesics for convex billiards and circular billiards"Nihonkai Math. J.. 13. 207-215 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Shuichi Tasaki: "Thermodynamic Behaviors of Large Dynamical Systems -quantum ld conductor and classical multibaker map -"Lecture Notes in Physics. 597. 395-412 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Shuichi Tasaki: "Irreversibility in reversible multibaker maps"Advances in Chemical Physic. 122. 70-107 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Shuichi Tasaki: "Spectral Properties of a Piecewise Linear Intermittent Map"Journal of Statistical Physics. 109. 803-820 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Yoshimichi Ueda: "Irreducible subfactors of $L({\\mathbb F}_{\infty})$ of index $\laimbda > 4$"J. reine angew. Math.. 548. 149-166 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Michiko Yuri: "Weak Gibbs measures and the local producrt structure"Ergodic Theory and Dynamical Systems. 22. 1933-1945 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Michiko Yuri: "Multifractal Analysis of weak Gibbs measures for Intermittent systems"Communications in Mathematical Physics. 230. 365-388 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Michiko Yuri: "On the speed of convergence to equilibrium states for multi-dimensional maps with indifferent periodic points"Nonlinearity. 15. 429-455 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Masakazu Nasu: "The dynamics of expansive invertible onesided cellular automata"Trans. Amer. Math. Soc.. 354. 4067-4084 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Masakazu Nasu: "The dynamics of expansive invertible onesided cellular automata"Trans. Amer. Math. Soc.. 354. 4067-4084 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Takehiko Morita: "Piecewise C^2 perturbation of Lasota-Yorke maps and their ergodic properties"Osaka J. Math.. (印刷中). (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] S.Matsumoto: "Minimal sets of certain annular homeomorphisms"Hiroshima Mate. J.. (印刷中). (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] Shuichi Tasaki: "Irreversibility in Reversible Multibaker Maps"Advances in Chemical Physics. 122. 77-107 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] M.Pollicott: "Zeta functions for certain multi-dimensional non-hyperbolic maps"NONLINEARITY. 14・5. 1265-1278 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] M.Pollicott: "Statistical properties of maps with indifferent periodic points"COMMUNICATIONS IN MATHEMATICAL PHYSICS. 217・3. 503-520 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Shuichi Tasaki: "Nonequilibrium stationary states of noninteracting electrons in a one-dimensional lattice"Chaos, Solitons and Fractals. 122. 2657-2674 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] P.gaspard: "Liouvillian dynamics of the Hopf bifurcation"Physical Review E. 6405・5. 6232 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Nobuhiro Innami: "Jacobi vector fields along geodesics in glued Riemannian manifolds"Math. Scandinavica. 88. 182-192 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Tomoki Inoue: "Correction to 'Ratio ergodic theorems for maps with indifferent fixed points'"Ergod. Theory and Dynamical Systems. 21. 1273-1273 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Nobuhiro Asahi: "Roles of log-concavity, log-convexity, and growth order in white noise analysis"Infinite Dimiensional Analysis, Quantum Probability and Related Topics. 4・1. 59-84 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Nobuhiro Asahi: "General characterization theorems and intrinsic topologies in white noise analysis"Hiroshima Mathematical Journal. 31. 299-330 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Yoshimichi Ueda: "Remarks on free products with respect to non-tracial states"Math. Scand.. 88. 111-125 (2001)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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