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2013 Fiscal Year Final Research Report

Global properties for Markov processes with time dependent perturbations and their applications

Research Project

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Project/Area Number 23540147
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionKumamoto University

Principal Investigator

KIM Daehong  熊本大学, 自然科学研究科, 准教授 (50336202)

Co-Investigator(Kenkyū-buntansha) KUWAE Kazuhiro  熊本大学, 自然科学研究科, 教授 (80243814)
Co-Investigator(Renkei-kenkyūsha) UEMURA Toshihiro  関西大学, 理工学部, 教授 (30285332)
SHIOZAWA Yuichi  岡山大学, 自然科学研究科, 准教授 (60454518)
Project Period (FY) 2011 – 2013
Keywords確率論 / 確率解析 / 確率過程論
Research Abstract

In this study, we were able to investigate the global properties of Markov processes with time dependent perturbations and applied our results to the surrounding problems such as optimizations in a broad sense. In particular, by making use of potential theory and Dirichlet form theory, we were able to obtain some new analytic perspective in studying the Markov processes with time dependent perturbations.

  • Research Products

    (19 results)

All 2014 2013 2012 2011

All Journal Article (8 results) (of which Peer Reviewed: 8 results) Presentation (11 results)

  • [Journal Article] On a stability of heat kernel estimates under generalized non-local Feynman-Kac perturbations for stable-like processes2014

    • Author(s)
      Daehong Kim and Kazuhiro Kuwae
    • Journal Title

      Festschrift Masatoshi Fukushima (World Scientific Reivew)

      Volume: (掲載決定)

    • Peer Reviewed
  • [Journal Article] Jensen's inequality on convex spaces2014

    • Author(s)
      Kazuhiro Kuwae
    • Journal Title

      Calc. Var. Partial Differential Equations

      Volume: 49, No.3-4 Pages: 1359-1378

    • DOI

      10.1007/s00526-013-0625-5

    • Peer Reviewed
  • [Journal Article] Restrained Resampling for Sequen tial Monte Carlo Methods2012

    • Author(s)
      Inpyo Hong, Daeyoung Kim and Daehong Kim
    • Journal Title

      Proceedings of the IASTED International Conference Signal and Image Processing, (Honolulu, USA)

      Pages: 68-78

    • DOI

      10.2316/P.2012.786-083

    • Peer Reviewed
  • [Journal Article] On subharmonicity for symmetric Markov processes2012

    • Author(s)
      Zhen-Qing Chen and Kazuhiro Kuwae
    • Journal Title

      J. Math. Soc. Japan

      Volume: Vol.64, No.4 Pages: 1181-1209

    • URL

      http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.jmsj/1351516773

    • Peer Reviewed
  • [Journal Article] On Calabi's strong maximum principle via local semi-Dirichlet forms2012

    • Author(s)
      Kazuhiro Kuwae
    • Journal Title

      Potential Anal

      Volume: Vol.37, No.4 Pages: 387-413

    • DOI

      10.1007/s11118-011-9266-5

    • Peer Reviewed
  • [Journal Article] Some limit theorems rela ted to multi-dimensional diffusions in a random environment2011

    • Author(s)
      Daehong Kim
    • Journal Title

      J. Korean Math. Soc

      Volume: Vol.48, No.1 Pages: 147-158

    • DOI

      10.4134/JKMS.2011.48.1.147

    • Peer Reviewed
  • [Journal Article] Invariant sets and ergodic decomposition for semi-Dirich let forms2011

    • Author(s)
      Kazuhiro Kuwae
    • Journal Title

      Forum Math

      Volume: Vol.23, No.6 Pages: 1259-1279

    • DOI

      10.1515/form.2011.046

    • Peer Reviewed
  • [Journal Article] A topological splitting theorem for weighted Alexan drov spaces2011

    • Author(s)
      K. Kuwae and T. Shioya
    • Journal Title

      Tohoku Math. J. (2)

      Volume: Vol.63, No.1 Pages: 59-76

    • URL

      http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.tmj/1303219936

    • Peer Reviewed
  • [Presentation] Convergence of penalized measures under generalized non-local Feynman-Kac perturbations2014

    • Author(s)
      Daehong Kim
    • Organizer
      Kumamoto probability seminar
    • Place of Presentation
      熊本大学
    • Year and Date
      2014-01-06
  • [Presentation] On a stability of heat kernel estimates under generalized non-local Feynman-Kac perturbations, マルコフ過程とその周辺2013

    • Author(s)
      Daehong Kim
    • Place of Presentation
      東北大学
    • Year and Date
      2013-11-19
  • [Presentation] Another analytic characterizations of gaugeability for generalized Feynman-Kac functionals, マルコフ過程とその周辺2013

    • Author(s)
      Kazuhiro Kuwae
    • Place of Presentation
      東北大学
    • Year and Date
      2013-11-19
  • [Presentation] Stability results for heat kernels under generalized non-local Feynman-Kac perturbations2013

    • Author(s)
      Daehong Kim
    • Organizer
      6th Engineering Workshop between Kumamoto
    • Place of Presentation
      Shandong and Ajou, Ajou University, Korea
    • Year and Date
      2013-11-09
  • [Presentation] Resolvent ows for convex functionals and p-harmonic map2013

    • Author(s)
      Kazuhiro Kuwae
    • Organizer
      Dirichlet Forms and Applications German-Japanese Meeting on Stochastic Analysis
    • Place of Presentation
      Mathematisch es Institut der Universitat Leipzig, Germany
    • Year and Date
      2013-09-20
  • [Presentation] On a stability of heat kernel estimates under generalized non-local Feynman-Kac perturbations2013

    • Author(s)
      Daehong Kim
    • Organizer
      Okayama Analysis and Probability Seminar
    • Place of Presentation
      岡山大学
    • Year and Date
      2013-08-19
  • [Presentation] Large deviation principles for generalized non-local Feynman-Kac functionals and its applications2012

    • Author(s)
      Kazuhiro Kuwae
    • Organizer
      Workshop on Stoch. Anal. Rel. Topics
    • Place of Presentation
      Chinese Academy of Science, China
    • Year and Date
      2012-11-07
  • [Presentation] On analytic characterization of gaugeability for generalized Feynman-Kac functionals2012

    • Author(s)
      Daehong Kim and Kazuhiro Kuwae
    • Organizer
      6th Inter. Conf. Stoch. Anal. Appl
    • Place of Presentation
      Bedlewo, Poland
    • Year and Date
      2012-09-12
  • [Presentation] Analytic condition of gaugeability for generalized Feynman-Kac functionals2012

    • Author(s)
      Daehong Kim
    • Organizer
      Kyusyu probability seminar
    • Place of Presentation
      熊本大学
    • Year and Date
      2012-02-19
  • [Presentation] Large deviation principles for generalized non-local Feynman-Kac functionals and its applications, 確率解析とその周辺2011

    • Author(s)
      Daehong Kim
    • Place of Presentation
      関西大学
    • Year and Date
      2011-12-21
  • [Presentation] On a gaugeability for generalized Feynman-Kac functionals and its applications2011

    • Author(s)
      Daehong Kim
    • Organizer
      Seminar on probability theory and related fields
    • Place of Presentation
      Kansai University
    • Year and Date
      2011-07-11

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Published: 2015-07-16  

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