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2011 Fiscal Year Final Research Report

Development and applications of analytical methods for classical stochastic processes based on condensed matter physics

Research Project

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Project/Area Number 21740283
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionKyoto University (2010-2011)
The University of Tokyo (2009)

Principal Investigator

OHKUBO Jun  京都大学, 大学院・情報学研究科, 講師 (70451888)

Project Period (FY) 2009 – 2011
Keywords揺らぎ / 非平衡系 / 化学反応系 / 遺伝子発現系
Research Abstract

Inthisstudy, analyticalmethodsforclassicalstochasticprocesseswerestudied. Basedonformalanalogieswithmethodsincondensedmatterphysics, thefollowingtwopointsweremainlyinvestigated, i. e.,(1) arelationshipbetweenquantummechanicalformalismandstochasticprocessesforchemicalreactionsandecosystems, and(2) basicsforcountingstatistics(itsrelationtogeometricphases, andproposalofanumericalmethod). Inaddition, anewapProximationschemeforgeneregulatorysystemswasproposed. Thesestudiesareexpectedtobeusefulnotonlyforphysics, butalsoforlifesciences.

  • Research Products

    (22 results)

All 2012 2011 2010 2009

All Journal Article (8 results) (of which Peer Reviewed: 8 results) Presentation (14 results)

  • [Journal Article] Nonparametric model reconstruction for stochastic differential equations from discretely observed time eries data2011

    • Author(s)
      Jun Ohkubo
    • Journal Title

      Phys Rev. E

      Volume: Vol.84 Pages: 066702

    • DOI

      DOI:10.1103/PhysRevE.84.066702

    • Peer Reviewed
  • [Journal Article] Approximation scheme based on effective interactions for stochastic gene regulation2011

    • Author(s)
      Jun Ohkubo
    • Journal Title

      Phys Rev. E

      Volume: Vol.83 Pages: 041915

    • Peer Reviewed
  • [Journal Article] Noncyclic and nonadiabatic geometric phase for counting statistics2010

    • Author(s)
      Jun Ohkubo and Thomas Eggel
    • Journal Title

      Math. Theor.

      Volume: Vol.43 Pages: 425001

    • DOI

      DOI:10.1088/1751-8113/43/42/425001

    • Peer Reviewed
  • [Journal Article] Direct numerical method for counting statistics in stochastic processes2010

    • Author(s)
      Jun Ohkubo and Thomas Eggel
    • Journal Title

      J. Stat. Mech

      Pages: 06013

    • DOI

      DOI:10.1088/1742-5468/2010/06/P06013

    • Peer Reviewed
  • [Journal Article] Duality in interacting particle systems and boson representation2010

    • Author(s)
      Jun Ohkubo
    • Journal Title

      J. Stat. Phys., kp

      Volume: Vol.139 Pages: 454-465

    • DOI

      DOI:10.1007/s10955-009-9910-2

    • Peer Reviewed
  • [Journal Article] Two Langevin equations in the Doi-pelit i formal ism2010

    • Author(s)
      Kazunori Itakura, Jun Ohkubo, and Shin-ichi Sasa
    • Journal Title

      J. Phys. A Math. Theor

      Volume: Vol.43 Pages: 125001

    • DOI

      DOI:10.1088/17518113/43/12/125001

    • Peer Reviewed
  • [Journal Article] Posterior Probability and Fluctuation Theorem in Stochastic Processes2009

    • Author(s)
      Jun Ohkubo
    • Journal Title

      J. Phys. Soc. Jpn

      Volume: Vol.78 Pages: 123001

    • DOI

      DOI:10.1143/JPSJ.78.123001

    • Peer Reviewed
  • [Journal Article] Variational principle of counting statistics in master equations2009

    • Author(s)
      Jun Ohkubo
    • Journal Title

      Phys Rev. E

      Pages: 012101

    • DOI

      DOI:10.1103/PhysRevE.80.012101

    • Peer Reviewed
  • [Presentation] Doi-Peliti法と直交多項式について2012

    • Author(s)
      大久保潤
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院大学西宮上ヶ原キャンパス
    • Year and Date
      2012-03-25
  • [Presentation] 非平衡,生命,情報の関係:計数統計の視点から2012

    • Author(s)
      大久保潤
    • Organizer
      京都大学基礎物理学研究所研究会情報統計力学の最前線
    • Place of Presentation
      京都大学
    • Year and Date
      2012-03-22
  • [Presentation] 計数統計とその周辺,第21回日本数理生物学会年会企画シンポジウム2011

    • Author(s)
      大久保潤
    • Organizer
      New theoretical approaches for stochastic phenomena in biology
    • Place of Presentation
      明治大学駿河台キャンパス
    • Year and Date
      2011-09-14
  • [Presentation] 非平衡統計力学から見たナノデバイスの情報処理機能2011

    • Author(s)
      大久保潤
    • Organizer
      2011年春期第58回応用物理学関係連合講演会シンポジウム「ナノ光電子系と情報の融合が拓くシステムの質的変革」
    • Place of Presentation
      神奈川工科大学
    • Year and Date
      2011-03-26
  • [Presentation] 遺伝子制御系の確率モデルにおける近似手法2010

    • Author(s)
      大久保潤
    • Organizer
      定量生物学の会第三回年会
    • Place of Presentation
      東京大学生産技術研究所
    • Year and Date
      20101127-28
  • [Presentation] 計数統計における非周期的幾何学的位相について2010

    • Author(s)
      大久保潤
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2010-11-19
  • [Presentation] Thomas Eggel,計数統計における非周期的幾何学的位相2010

    • Author(s)
      大久保潤
    • Organizer
      日本物理学会2010年秋季大会
    • Place of Presentation
      大阪府立大学中百舌鳥キャンパス
    • Year and Date
      2010-09-24
  • [Presentation] 揺らぐ系における外場応答動力学への理論的アプローチ2010

    • Author(s)
      大久保潤
    • Organizer
      第7回AMO討論会
    • Place of Presentation
      つくば国際会議場
    • Year and Date
      2010-06-12
  • [Presentation] Doi-Peliti法による双対確率過程および双対関数の導出2010

    • Author(s)
      大久保潤
    • Organizer
      日本物理学会第65回年次大会
    • Place of Presentation
      岡山大学
    • Year and Date
      2010-03-20
  • [Presentation] Doi-Peliti法と双対確率過程2010

    • Author(s)
      大久保潤
    • Organizer
      古典および量子ダイナミックス・非平衡統計力学に関するワークショップ
    • Place of Presentation
      東京大学
    • Year and Date
      2010-02-13
  • [Presentation] Counting statistics for pump current induced by periodic perturbation2009

    • Author(s)
      Jun Ohkubo
    • Organizer
      Symposium in" Frontiers in No equilibrium Physics"
    • Place of Presentation
      東京大学
    • Year and Date
      20090731-0801
  • [Presentation] 量子力学における数理的手法の古典確率過程への応用2009

    • Author(s)
      大久保潤
    • Organizer
      第15回交通流シミュレーションシンポジウム
    • Place of Presentation
      名古屋大学
    • Year and Date
      2009-12-03
  • [Presentation] Pump Current as a Signal Transformation2009

    • Author(s)
      Jun Ohkubo
    • Organizer
      4th International workshop on Natural Computing
    • Place of Presentation
      姫路市国際交流センター
    • Year and Date
      2009-09-25
  • [Presentation] ポンプカレントの計数統計と「コト」の物理学2009

    • Author(s)
      大久保潤
    • Organizer
      科研費特定領域研究「情報統計力学の深化と展開」研究会
    • Place of Presentation
      北海道大学
    • Year and Date
      2009-07-06

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Published: 2013-07-31  

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