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

Research Project

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
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords揺らぎ / 非平衡系 / 化学反応系 / 遺伝子発現系 / 遺伝子発現制御系 / 計数統計 / 確率過程 / 幾何学的位相 / Doi-Peliti法
Research Abstract

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

Report

(4 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (43 results)

All 2012 2011 2010 2009

All Journal Article (15 results) (of which Peer Reviewed: 15 results) Presentation (28 results)

  • [Journal Article] Nonparametric model reconstruction for stochastic differential equation from discretely observed time-series data2011

    • Author(s)
      J. Ohkubo
    • Journal Title

      Physical Review E

      Volume: 84 Issue: 6 Pages: 66702-66702

    • DOI

      10.1103/physreve.84.066702

    • NAID

      120003779166

    • Related Report
      2011 Annual Research Report 2011 Final Research Report
    • 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: 41915-41915

    • NAID

      120003338851

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Approximation scheme based on effective interactions for stochastic gene regulation2011

    • Author(s)
      J. Ohkubo
    • Journal Title

      Physical Review E

      Volume: 83 Issue: 4

    • DOI

      10.1103/physreve.83.041915

    • NAID

      120003338851

    • Related Report
      2011 Annual Research Report
    • 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 Issue: 42 Pages: 425001-425001

    • DOI

      10.1088/1751-8113/43/42/425001

    • Related Report
      2011 Final Research Report
    • 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

      Volume: 2010 Issue: 06 Pages: 6013-6013

    • DOI

      10.1088/1742-5468/2010/06/p06013

    • Related Report
      2011 Final Research Report
    • 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 Issue: 3 Pages: 454-465

    • DOI

      10.1007/s10955-009-9910-2

    • Related Report
      2011 Final Research Report
    • 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: 125001-125001

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Duality in interacting particle systems and boson representation2010

    • Author(s)
      Jun Ohkubo
    • Journal Title

      J.Stat.Phys.

      Volume: 139 Pages: 454-465

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Direct numerical method for counting statistics in stochastic processes2010

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

      J.Stat.Mech.

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Noncyclic and nonadiabatic geometric phase for counting statistics2010

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

      J.Phys.A : Math.Theor.

      Volume: 43

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Two Langevin equations in the Doi-Peliti formalism2010

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

      J.Phys.A : Math.Theor. 43

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Posterior Probability and Fluctuation Theorem in Stochastic Processes2009

    • Author(s)
      Jun Ohkubo
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 78 Issue: 12 Pages: 123001-123001

    • DOI

      10.1143/jpsj.78.123001

    • NAID

      130005437256

    • ISSN
      0031-9015, 1347-4073
    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Variational principle of counting statistics in master equations2009

    • Author(s)
      Jun Ohkubo
    • Journal Title

      Phys Rev. E

      Volume: 80 Issue: 1 Pages: 12101-12101

    • DOI

      10.1103/physreve.80.012101

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Posterior Probability and Fluctuation Theorem in Stochastic Processes2009

    • Author(s)
      Jun Ohkubo
    • Journal Title

      J.Phys.Soc.Jpn. 78

    • NAID

      130005437256

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Variational principle of counting statistics in master equations2009

    • Author(s)
      Jun Ohkubo
    • Journal Title

      Phys.Rev.E 80

    • Related Report
      2009 Annual Research Report
    • 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
    • Related Report
      2011 Final Research Report
  • [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(兵庫県)
    • Year and Date
      2012-03-25
    • Related Report
      2011 Annual Research Report
  • [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
    • Related Report
      2011 Final Research Report
  • [Presentation] 非平衡系,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-情報と揺らぎの制御の物理学を目指して-
    • Place of Presentation
      京都大学(京都府)(招待講演)
    • Year and Date
      2012-03-22
    • Related Report
      2011 Annual Research Report
  • [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
    • Related Report
      2011 Final Research Report
  • [Presentation] 計数統計とその周辺2011

    • Author(s)
      大久保潤
    • Organizer
      第21回日本数理生物学会年会企画シンポジウム「New theoretical approaches for stochastic phenomena in biology」
    • Place of Presentation
      明治大学駿河台キャンパス(東京都)(招待講演)
    • Year and Date
      2011-09-14
    • Related Report
      2011 Annual Research Report
  • [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
    • Related Report
      2011 Final Research Report
  • [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(招待講演 震災のため中止となり,講演予稿集の発行をもって発表成立となった)
    • Year and Date
      2011-03-26
    • Related Report
      2010 Annual Research Report
  • [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
    • Related Report
      2011 Final Research Report
  • [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, Thomas Eggel
    • Organizer
      非平衡系の物理-非平衡ゆらぎと集団挙動
    • Place of Presentation
      京都大学基礎物理学研究所
    • Year and Date
      2010-11-19
    • Related Report
      2010 Annual Research Report
  • [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
    • Related Report
      2011 Final Research Report
  • [Presentation] 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, Thomas Eggel
    • 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
    • Related Report
      2010 Annual Research Report
  • [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
    • Related Report
      2011 Final Research Report
  • [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(招待講演)
    • Year and Date
      2010-06-12
    • Related Report
      2010 Annual Research Report
  • [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
    • Related Report
      2011 Final Research Report
  • [Presentation] Doi-Peliti 法と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(岡山県)
    • Year and Date
      2010-03-20
    • Related Report
      2009 Annual Research Report
  • [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
    • Related Report
      2011 Final Research Report
  • [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(東京都)
    • Year and Date
      2010-02-13
    • Related Report
      2009 Annual Research Report
  • [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
    • Related Report
      2011 Final Research Report
  • [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
      定量生物の会 第三回年会
    • Place of Presentation
      東京大学生産技術研究所(ポスター発表)
    • Related Report
      2010 Annual Research Report
  • [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
    • Related Report
      2011 Final Research Report
  • [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回交通流のシミュレーションシンポジウム
    • Place of Presentation
      名古屋大学(愛知県)
    • Year and Date
      2009-12-03
    • Related Report
      2009 Annual Research Report
  • [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
    • Related Report
      2011 Final Research Report
  • [Presentation] Pump Current as a Signal Transformation2009

    • Author(s)
      大久保潤
    • Organizer
      4th International Workshop on Natural Computing
    • Place of Presentation
      姫路市国際交流センター(兵庫県)
    • Year and Date
      2009-09-25
    • Related Report
      2009 Annual Research Report
  • [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
    • Related Report
      2011 Final Research Report
  • [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(北海道)
    • Year and Date
      2009-07-06
    • Related Report
      2009 Annual Research Report
  • [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
    • Related Report
      2011 Final Research Report
  • [Presentation] Counting statistics for pump current induced by periodic perturbation2009

    • Author(s)
      大久保潤
    • Organizer
      Symposium in "Frontiers in Nonequilibrium Physics"
    • Place of Presentation
      京都大学(京都府)
    • Related Report
      2009 Annual Research Report

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Published: 2009-04-01   Modified: 2016-04-21  

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