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2011 Fiscal Year Final Research Report

Large deviations for additive functional of symmetric Markov processes

Research Project

  • PDF
Project/Area Number 21740109
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Basic analysis
Research Institution防衛大学校 (2010-2011)
Toba National College of Maritime Technology (2009)

Principal Investigator

TSUCHIDA Kaneharu  防衛大学校, 総合教育学群, 講師 (80466523)

Project Period (FY) 2009 – 2011
Keywords確率論
Research Abstract

In this study, we prove large deviation principles for additive functionals associated with various symmetric Markov processes. Moreover, we find a sufficient condition to hold the large deviation principle, collect these conditions into a paper. This paper was published in 2011.

  • Research Products

    (12 results)

All 2011 2010 2009

All Journal Article (2 results) (of which Peer Reviewed: 2 results) Presentation (10 results)

  • [Journal Article] Large deviations for discontinuous additive functionals of symmetric stable processes2011

    • Author(s)
      土田兼治、竹田雅好
    • Journal Title

      Mathematiche Nachrichten

      Volume: 284 Pages: 1148-1171

    • DOI

      DOI:10.1002/mana.200810843

    • Peer Reviewed
  • [Journal Article] On a sufficient condition for large deviations of additive functionals2011

    • Author(s)
      土田兼治
    • Journal Title

      Stochastics and Dynamics

      Volume: 11 Pages: 157-181

    • DOI

      DOI:10.1142/S0219493711003218

    • Peer Reviewed
  • [Presentation] Strong and weak disorder for Levy Directed polymers in random environment2011

    • Author(s)
      土田兼治
    • Organizer
      Probability and PDE
    • Place of Presentation
      広島大学
    • Year and Date
      20110111-13
  • [Presentation] Differentiability of spectral functions for nearly stable processes2011

    • Author(s)
      土田兼治
    • Organizer
      KKR敬天閣
    • Place of Presentation
      KKR敬天閣、鹿児島
    • Year and Date
      2011-11-05
  • [Presentation] 加法的汎関数の大偏差原理が成り立つための十分条件について2011

    • Author(s)
      土田兼治
    • Organizer
      東京確率論セミナー
    • Place of Presentation
      東京工業大学
    • Year and Date
      2011-10-18
  • [Presentation] Differentiability of spectral functions for nearly stable processes and large deviations2011

    • Author(s)
      田原喜宏
    • Organizer
      日本数学会2011年度秋季総合分科会
    • Place of Presentation
      信州大学
    • Year and Date
      2011-09-29
  • [Presentation] Large deviations for additive functionals of nearly stable processes2011

    • Author(s)
      土田兼治
    • Organizer
      東北確率論セミナー
    • Place of Presentation
      東北大学
    • Year and Date
      2011-06-17
  • [Presentation] Large deviations for additive functionals of nearly stable rocesses2011

    • Author(s)
      土田兼治
    • Organizer
      UW Probability seminar、University of Washington
    • Place of Presentation
      United States
    • Year and Date
      2011-03-09
  • [Presentation] Large deviations for additive functionals of jump type Markov processes2010

    • Author(s)
      土田兼治
    • Organizer
      第13回広島応用解析セミナー
    • Place of Presentation
      広島大学
    • Year and Date
      20100823-24
  • [Presentation] Large deviations for discontinuous Additive functionals of symmetric stable processes2009

    • Author(s)
      土田兼治
    • Organizer
      Workshop on Limit Theorems、Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic
    • Place of Presentation
      チェコ共和国、プラハ
    • Year and Date
      20090803-06
  • [Presentation] Large deviations for additive functionals with jumps2009

    • Author(s)
      土田兼治
    • Organizer
      Kyoto RIMS Workshop on Stochastic Analysis of Jump Process and Related Topics
    • Place of Presentation
      京都大学
    • Year and Date
      20090708-10
  • [Presentation] Large deviations for additive functinoals with jumps2009

    • Author(s)
      土田兼治
    • Organizer
      東北確率論セミナー
    • Place of Presentation
      東北大学
    • Year and Date
      2009-06-18

URL: 

Published: 2013-07-31  

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