New developments in large-deviation statistics

2012 Fiscal Year Final Research Report

• Project/Area Number: 20540376
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Kyoto University
• Principal Investigator: MIYAZAKI Syuji 京都大学, 大学院・情報学研究科, 講師 (50284170)
• Project Period (FY): 2008 – 2012
• Keywords: 非平衡・非線形物理学 / 物性基礎論 / 統計力学

Research Abstract

A better numerical method of obtaining large-deviation statistics, ‘equations of motion’ of which are derived and solved, is proposed, compared with a conventional calculation method from experimental time series according to the definition of those statistics. The large-deviation statistics are applied to complex network, and relationships between characteristic local structures and large fluctuations are studied.

Research Products

• [Journal Article] Chaos as Irregular Hopping between Unstable Periodic Orbits and Its Network Representation (2013)
  • Author(s): Syuji Miyazaki and Yusuke Higuchi
  • Journal Title: FORMA(in press) Volume: Vol.28
  • URL: http://www.scipress.org/journals/forma/list.html
  • Peer Reviewed
• [Journal Article] Fluctuation spectra of Few-and Large-degree-of-freedom Chaotic Systems (2012)
  • Author(s): Katsuhito Matsui, Syuji Miyazaki, Miki. U. Kobayashi, Takehiko Horita and Katsuya Ouchi
  • Journal Title: Procedia IUTAM Volume: Vol.5 Pages: 265-271
  • URL: http://dx.doi.org/10.1016/j.piutam.2012.06.036
  • Peer Reviewed
• [Journal Article] Network Analysis Based on Statistical-Thermodynamical Formalism (2012)
  • Author(s): Syuji Miyazaki and Taro Takaguchi
  • Journal Title: Procedia IUTAM Volume: Vol.5 Pages: 160-164
  • URL: http://dx.doi.org/10.1016/j.piutam.2012.06.020
  • Peer Reviewed
• [Journal Article] SNS Analysis Based on Statistical-Thermodynamical Formalism (2011)
  • Author(s): Syuji Miyazaki and Taro Takaguchi
  • Journal Title: Proceedings of the 2011 International Symposium on Nonlinear Theory and its Applications (NOLTA2011) Pages: 140
  • Peer Reviewed
• [Journal Article] Relaxation and Hysteresis in a Periodically Forced Swift-Hohenberg System (2011)
  • Author(s): Kai Morino, Katsuya Ouchi and Syuji Miyazaki
  • Journal Title: Progress of Theoretical Physics Volume: Vol.125, No.6 Pages: 1123-1132
  • DOI: DOI:10.1143/PTP.125.1123
  • Peer Reviewed
• [Journal Article] Network Analysis Based on Statistical-Thermodynamics Formalism (2010)
  • Author(s): Taro Takaguchi, Kei Ejima and Syuji Miyazaki
  • Journal Title: Progress of Theoretical Physics Volume: Vol.124, No.1 Pages: 27-52
  • DOI: DOI:10.1143/PTP.124.27
  • Peer Reviewed
• [Journal Article] Various Synchronization Phenomena in Discrete-Time Coupled Chaotic Rotors (2010)
  • Author(s): Kai Morino, Takehiko Horita and Syuji Miyazaki
  • Journal Title: Progress of Theoretical Physics Volume: Vol.123, No.6 Pages: 923-939
  • DOI: DOI:10.1143/PTP.123.923
  • Peer Reviewed
• [Journal Article] Complex Basin Structure and Parameter-Mismatch Induced Intermittency in Discrete-Time Coupled Chaotic Rotors (2010)
  • Author(s): Kai Morino and Syuji Miyazaki
  • Journal Title: FORMA Volume: Vol.25, No.1 Pages: 1-10
  • URL: http://www.scipress.org/journals/forma/abstract/2501/25010001.html
  • Peer Reviewed
• [Journal Article] Spectra statistics of the transition matrices on Watts-Strogatz model (2009)
  • Author(s): Takaguchi T and Miyazaki S
  • Journal Title: FORMA Volume: Vol. 24 Pages: 37-40
  • URL: http://www.scipress.org/journals/forma/abstract/2401/24010037.html
  • Peer Reviewed
• [Journal Article] Time correlation calculation method based on delayed coordinates (2009)
  • Author(s): Morino K, Kobayashi M U, Miyazaki S
  • Journal Title: Progress of Theoretical Physics Volume: Vol.121 Pages: 1143-1156
  • DOI: DOI:10.1143/PTP.121.1143
  • Peer Reviewed
• [Presentation] A complex network model for paradigm shifts (9/15 Poster) (2012)
  • Author(s): Shinya Yamada, Syuji Miyazaki and Takehiko Horita
  • Organizer: International Conference on Towards Mathematical Foundations of Complex Network Theory
  • Place of Presentation: Kyoto University, Japan
  • Year and Date: 20120914-0916
• [Presentation] Network analysis based on large deviation formalism (9/15 Poster) (2012)
  • Author(s): Kenta Tanaka and Syuji Miyazaki
  • Organizer: International Conference on Towards Mathematical Foundations of Complex Network Theory
  • Place of Presentation: Kyoto University, Japan
  • Year and Date: 20120914-0916
• [Presentation] Chaos as a swiching motion between unstable periodic orbits (9/15 Poster), International Conference on Towards Mathematical Foundations of Complex Network Theory (2012)
  • Author(s): Syuji Miyazaki and Yusuke Higuchi
  • Organizer: Graduate School of Science Building No.6
  • Place of Presentation: Kyoto University, Japa
  • Year and Date: 20120914-0916
• [Presentation] Network analysis based on statistical-thermodynamics formalism of temporal fluctuations (3/8 Poster) (2012)
  • Author(s): Kenta Tanaka and Syuji Miyazaki
  • Organizer: International Workshop on Anomalous Statistics, Generalized Entropies, and Information Geometry
  • Place of Presentation: Nara, Japan
  • Year and Date: 20120306-0310
• [Presentation] Projection-operator method applied to statistical-thermodynamics formalism (3/8 Poster) (2012)
  • Author(s): Syuji Miyazaki and Katsuhito Matsui
  • Organizer: International Workshop on Anomalous Statistics, Generalized Entropies, and Information Geometry
  • Place of Presentation: Nara, Japan
  • Year and Date: 20120306-0310
• [Presentation] Network analysis based on large deviation formalism (2/21 B21) (2012)
  • Author(s): Kenta Tanaka and Syuji Miyazaki
  • Organizer: Phase Transition Dynamics in Soft Matter : Bridging Microscale and Mesoscale
  • Place of Presentation: Kyoto, Japan
  • Year and Date: 20120220-0222
• [Presentation] Projection-operator method applied to large deviation statistics (2/20 A33) (2012)
  • Author(s): Syuji Miyazaki and Katsuhito Matsui
  • Organizer: Phase Transition Dynamics in Soft Matter : Bridging Microscale and Mesoscale
  • Place of Presentation: Kyoto, Japan
  • Year and Date: 20120220-0222
• [Presentation] Network Analysis Based on Statistical-Thermodynamical Formalism (2011)
  • Author(s): Syuji Miyazaki
  • Organizer: IUTAM Symposium on 50 Years of Chaos : Applied and Theoretical
  • Place of Presentation: Kyoto, Japan
  • Year and Date: 20111128-1202
• [Presentation] Network Analysis Based on Large-Deviation Statistics (11/23) (2011)
  • Author(s): Syuji Miyazaki
  • Organizer: Frontiers in Dynamical systems and Topology
  • Place of Presentation: Kyoto University, Japan
  • Year and Date: 20111121-1125
• [Presentation] SNS Analysis Based on Statistical-Thermodynamical Formalism (2011)
  • Author(s): Syuji Miyazaki and Taro Takaguchi
  • Organizer: 2011 International Symposium on Nonlinear Theory and its Applications (NOLTA2011)
  • Place of Presentation: Kobe Industrial Promotion Center, Kobe, Japan
  • Year and Date: 20110904-0907
• [Presentation] Fluctuation-spectrum approach to few and large-degree-of-freedom chaotic systems (2011)
  • Author(s): Katsuhito Matsui, Syuji Miyazaki, Miki U. Kobayashi, Katsuya Ouchi, Takehiko Horita
  • Organizer: Far-From-Equilibrium Dynamics 2011 (FFED11)
  • Place of Presentation: Shiran-Kaikan, Kyoto, Japan
  • Year and Date: 20110104-0108
• [Presentation] Relaxation scaling laws in a periodically forced Swift-Hohenberg system (1/6 P05) (2011)
  • Author(s): Syuji Miyazaki, Kai Morino and Katsuya Ouchi
  • Organizer: Far-From-Equilibrium Dynamics 2011 (FFED11)
  • Place of Presentation: Shiran-Kaikan, Kyoto, Japan
  • Year and Date: 20110104-0108
• [Presentation] Network Analysis Based on Large-Deviation Formalism (2010)
  • Author(s): Syuji Miyazaki
  • Organizer: Japan-Slovenia Seminar on Nonlinear Science (Kansai 2010)
  • Place of Presentation: Osaka Prefecture University, Osaka, Japan
  • Year and Date: 20101108-1109
• [Presentation] Level dynamics and large deviation analyses (2008)
  • Author(s): Syuji Miyazaki
  • Organizer: Dynamics Days Asia Pacific 5 (DDAP5)
  • Place of Presentation: Nara Prefectural New Public Hall, Nara, Japan
  • Year and Date: 20080909-0912
• [Remarks] 研究業績・研究集会等リスト
  • URL: http://f3.acs.i.kyoto-u.ac.jp/~syuji/20540376/
• [Remarks] 非線形物理学・非平衡統計力学に関する連続講演会
  • URL: http://f3.acs.i.kyoto-u.ac.jp/~syuji/20080830/
• [Remarks] 第66回 形の科学シンポジウム
  • URL: http://f3.acs.i.kyoto-u.ac.jp/~syuji/20081101/
• [Remarks] 非線形科学セミナー「大偏差統計とその周辺」
  • URL: http://f3.acs.i.kyoto-u.ac.jp/~syuji/20110430/
• [Remarks] 第72回 形の科学シンポジウム
  • URL: http://f3.acs.i.kyoto-u.ac.jp/~syuji/20111209/
• [Remarks] この研究課題については平成25年度「小・中・高校生のためのプログラム ひらめき☆ときめきサイエンス」の11月3日・4日実施予定の「カオス・フラクタルの世界の魅力に触れる」HT25144(14301・京都大学・宮崎修次)において高校生向けの成果公開を行うことになっている.