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Theoretical study of random dynamical systems through the approach of stochastic processes

Research Project

Project/Area Number 19K21834
Research Category

Grant-in-Aid for Challenging Research (Exploratory)

Allocation TypeMulti-year Fund
Review Section Medium-sized Section 12:Analysis, applied mathematics, and related fields
Research InstitutionOsaka University (2023)
Kyoto University (2019-2022)

Principal Investigator

Yano Kouji  大阪大学, 大学院理学研究科, 教授 (80467646)

Co-Investigator(Kenkyū-buntansha) 佐藤 譲  北海道大学, 電子科学研究所, 准教授 (30342794)
角 大輝  京都大学, 人間・環境学研究科, 教授 (40313324)
中野 雄史  東海大学, 理学部, 准教授 (50778313)
中村 文彦  北見工業大学, 工学部, 准教授 (40825147)
豊川 永喜  九州大学, マス・フォア・インダストリ研究所, 助教 (30907762)
Project Period (FY) 2019-06-28 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥6,500,000 (Direct Cost: ¥5,000,000、Indirect Cost: ¥1,500,000)
Fiscal Year 2021: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2020: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2019: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Keywordsランダム力学系 / 確率過程論 / 一般化逆正弦法則 / 情報系分解 / 雑音誘起現象
Outline of Research at the Start

時間の経過とともに完全な規則性に基づいて変化する系を決定的力学系と呼ぶ.単純なはずの規則性の反復は単純な秩序を生むこともあればカオスを惹き起こすこともある.一方で,部分的な規則性に偶然性が加わって変化する系はランダム力学系と呼ばれる.本研究では,偶然性を抽象化した理論である確率過程論のアプローチに基づき,複数の規則性が偶然性によって混合してできるランダム力学系において,元の規則性が持つ性質がどのような影響を受けるか,という問題を解明する.

Outline of Final Research Achievements

Among the various aspects of random dynamical systems, which are given by adding certain randomness to deterministic dynamical systems, we have paid particular attention to the similarities with various properties of Markov processes in the theory of stochastic processes, and have aimed to mathematically elucidate several particular properties of random dynamical systems that are produced by the complex interplay of the properties of the deterministic dynamical systems. In this research, we have obtained remarkable results on the arcsine and the Darling Kac laws for some random dynamical systems constructed by random choice of interval maps, the aging effects for skew Bessel processes, and the problem of resolution of the sigma fields for action evolutions into the driving noise, the infinite past noise, and the third noise.

Academic Significance and Societal Importance of the Research Achievements

決定的力学系にランダム要素を加えたランダム力学系の性質を数学的に解明することは、学術的にも社会的にも重要な意義がある.学術的には,逆正弦法則,エイジング効果,情報系分解という重要なテーマについて,新しい研究発展の方向性を開拓することができた.社会的には,複雑かつ予測不能なランダム現象に潜む数理的構造を理論的に捉える新しい知見を得ることができた.

Report

(6 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Research-status Report
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • Research Products

    (163 results)

All 2024 2023 2022 2021 2020 2019 Other

All Int'l Joint Research (24 results) Journal Article (54 results) (of which Int'l Joint Research: 16 results,  Peer Reviewed: 42 results,  Open Access: 27 results) Presentation (83 results) (of which Int'l Joint Research: 42 results,  Invited: 50 results) Funded Workshop (2 results)

  • [Int'l Joint Research] テルアビブ大学(イスラエル)

    • Related Report
      2022 Research-status Report
  • [Int'l Joint Research] CIMAT数学研究センター(メキシコ)

    • Related Report
      2022 Research-status Report
  • [Int'l Joint Research] Ball State University/University of Rhode Island/ジョージア大学(米国)

    • Related Report
      2022 Research-status Report
  • [Int'l Joint Research] Christian-Albrechts-Universitaet zu Kiel(ドイツ)

    • Related Report
      2022 Research-status Report
  • [Int'l Joint Research] 華北電力大学/華中科技大学(中国)

    • Related Report
      2022 Research-status Report
  • [Int'l Joint Research]

    • Related Report
      2022 Research-status Report
  • [Int'l Joint Research] 華北電力大学/華中科技大学(中国)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] CIMAT(メキシコ)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] ピサ大学(イタリア)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] UFRJ/フルミネンセ連邦大学(ブラジル)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] University of North Texas/Ball State University/University of Rhode Island(米国)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research]

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] ロンドン数学研究所/インペリアル・カレッジ・ロンドン/ロンドン大学クイーン・メアリー(英国)

    • Related Report
      2020 Research-status Report
  • [Int'l Joint Research] ボール州立大学/ロード・アイランド大学/メリーランド大学(米国)

    • Related Report
      2020 Research-status Report
  • [Int'l Joint Research] フランス国立科学研究センター/パリ=サクレ大学(フランス)

    • Related Report
      2020 Research-status Report
  • [Int'l Joint Research] 華北電力大学/華中科技大学(中国)

    • Related Report
      2020 Research-status Report
  • [Int'l Joint Research] ルンド大学(スウェーデン)

    • Related Report
      2020 Research-status Report
  • [Int'l Joint Research]

    • Related Report
      2020 Research-status Report
  • [Int'l Joint Research] プリンス・エドワード・アイランド大学(カナダ)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] テルアヴィヴ大学(イスラエル)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] クイーン・メアリー/ロンドン数学研究所(英国)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] ロード・アイランド大学/ボール州立大学(米国)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] ウプサラ大学/ルンド大学(スウェーデン)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research]

    • Related Report
      2019 Research-status Report
  • [Journal Article] Reproduction of initial distributions from the first hitting time distribution for birth-and-death processes2024

    • Author(s)
      Yamato Kosuke、Yano Kouji
    • Journal Title

      Bernoulli

      Volume: 30 Issue: 2 Pages: 936-960

    • DOI

      10.3150/23-bej1619

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Penalization by two point local times with various clocks2024

    • Author(s)
      伊庭滉基,矢野孝次
    • Journal Title

      無限分解可能過程に関連する諸問題

      Volume: 28

    • Related Report
      2023 Annual Research Report
    • Open Access
  • [Journal Article] Reproduction of initial distributions from the first hitting time distribution for birth-and-death processes2023

    • Author(s)
      Kosuke Yamato and Kouji Yano
    • Journal Title

      Bernoulli

      Volume: -

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Arcsine law for random dynamics with a core2023

    • Author(s)
      Nakamura Fumihiko、Nakano Yushi、Toyokawa Hisayoshi、Yano Kouji
    • Journal Title

      Nonlinearity

      Volume: 36 Issue: 3 Pages: 1491-1509

    • DOI

      10.1088/1361-6544/acb398

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Local time penalizations with various clocks for L?vy processes2023

    • Author(s)
      Takeda Shosei、Yano Kouji
    • Journal Title

      Electronic Journal of Probability

      Volume: 28 Issue: none Pages: 1-35

    • DOI

      10.1214/23-ejp903

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Quenched limit theorems for random U(1) extensions of expanding maps2023

    • Author(s)
      Chung Yong Moo; Nakano Yushi; Wittsten Jens
    • Journal Title

      Discrete and Continuous Dynamical Systems

      Volume: 43 Issue: 1 Pages: 338-377

    • DOI

      10.3934/dcds.2022151

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Observable Lyapunov irregular sets for planar piecewise expanding maps2023

    • Author(s)
      Y. Nakano Yushi, T. Soma, K. Yamamoto
    • Journal Title

      Discrete and Continuous Dynamical Systems

      Volume: 43 Issue: 7 Pages: 2737-2755

    • DOI

      10.3934/dcds.2023027

    • Related Report
      2022 Research-status Report
    • Peer Reviewed
  • [Journal Article] Random invariant densities for Markov operator cocycles and random mean ergodic theorem2023

    • Author(s)
      F Nakamura, H Toyokawa
    • Journal Title

      Stochastics and Dynamics

      Volume: -

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Resolution of Sigma-Fields for Multiparticle Finite-State Action Evolutions with Infinite Past2022

    • Author(s)
      Ito Yu、Sera Toru、Yano Kouji
    • Journal Title

      Journal of Theoretical Probability

      Volume: - Issue: 3 Pages: 1-32

    • DOI

      10.1007/s10959-022-01219-4

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Arcsine and Darling?Kac laws for piecewise linear random interval maps2022

    • Author(s)
      Hata Genji、Yano Kouji
    • Journal Title

      Stochastics and Dynamics

      Volume: 23 Issue: 01 Pages: 2350006-2350006

    • DOI

      10.1142/s0219493723500065

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] On Universality in Penalisation Problems with Multiplicative Weights2022

    • Author(s)
      Yano Kouji
    • Journal Title

      Dirichlet Forms and Related Topics: In Honor of Masatoshi Fukushima's Beiju, IWDFRT 2022

      Volume: - Pages: 535-558

    • DOI

      10.1007/978-981-19-4672-1_26

    • ISBN
      9789811946714, 9789811946721
    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Remarks on Martingale Representation Theorem for Set-Valued Martingales2022

    • Author(s)
      Zhang Jinping、Yano Kouji
    • Journal Title

      Building Bridges between Soft and Statistical Methodologies for Data Science, SMPS 2022

      Volume: - Pages: 398-405

    • DOI

      10.1007/978-3-031-15509-3_52

    • ISBN
      9783031155086, 9783031155093
    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Local time penalizations with various clocks for Levy processes2022

    • Author(s)
      Kouji Yano
    • Journal Title

      Workshop report of MFO-RIMS Tandem Workshop: Nonlocality in Analysis, Probability and Statistics, Oberwolfach Report

      Volume: 15

    • Related Report
      2022 Research-status Report
    • Open Access
  • [Journal Article] Non-i.i.d. random holomorphic dynamical systems and the generic dichotomy2022

    • Author(s)
      Hiroki Sumi and Takayuki Watanabe
    • Journal Title

      Nonlinearity

      Volume: 35 Issue: 4 Pages: 1857-1875

    • DOI

      10.1088/1361-6544/ac4a89

    • Related Report
      2022 Research-status Report 2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] (ランダム)力学系における Lyapunov 非正則集合の観測可能性2022

    • Author(s)
      中野雄史
    • Journal Title

      (ランダム力学系および多価写像力学系理論の総合的研究) 数理解析研究所講究録

      Volume: 2217

    • Related Report
      2022 Research-status Report
    • Open Access
  • [Journal Article] Infinite convolutions of probability measures on Polish semigroups2022

    • Author(s)
      Kouji Yano
    • Journal Title

      Probab. Surveys

      Volume: 19 Issue: none

    • DOI

      10.1214/22-ps6

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] On universality in penalisation problems with multiplicative weights2022

    • Author(s)
      Kouji Yano
    • Journal Title

      Proceedings in Mathematics and Statistics: Festschrift in honor of Masatoshi Fukushima's Beiju

      Volume: -

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Existence of multiple noise-induced transitions in Lasota_Mackey maps2022

    • Author(s)
      Takumi Chihara, Yuzuru Sato, Isaia Nisoli, and Stefano Galatolo
    • Journal Title

      Chaos

      Volume: 32 Issue: 1 Pages: 13117-13117

    • DOI

      10.1063/5.0070198

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Noise-induced degeneration in online learning2022

    • Author(s)
      YuzuruSato, DaijiTsutsui, AkioFujiwara
    • Journal Title

      Physica D

      Volume: 430 Pages: 133095-133095

    • DOI

      10.1016/j.physd.2021.133095

    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] Abundance of Observable Lyapunov Irregular Sets2022

    • Author(s)
      Kiriki Shin、Li Xiaolong、Nakano Yushi、Soma Teruhiko
    • Journal Title

      Communications in Mathematical Physics

      Volume: 391 Issue: 3 Pages: 1241-1269

    • DOI

      10.1007/s00220-022-04337-6

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Topological entropy and Hausdorff dimension of irregular sets for non-hyperbolic dynamical systems2022

    • Author(s)
      Barrientos Pablo G.、Nakano Yushi、Raibekas Artem、Roldan Mario
    • Journal Title

      Dynamical Systems

      Volume: - Issue: 2 Pages: 1-30

    • DOI

      10.1080/14689367.2022.2031890

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Emergence via non-existence of averages2022

    • Author(s)
      Kiriki Shin、Nakano Yushi、Soma Teruhiko
    • Journal Title

      Advances in Mathematics

      Volume: 400 Pages: 108254-108254

    • DOI

      10.1016/j.aim.2022.108254

    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] Lyapunov exponents for random maps2022

    • Author(s)
      Nakamura Fumihiko、Nakano Yushi、Toyokawa Hisayoshi
    • Journal Title

      Discrete & Continuous Dynamical Systems - B

      Volume: 0 Issue: 12 Pages: 0-0

    • DOI

      10.3934/dcdsb.2022058

    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] Examples of third noise problems for action evolutions with infinite past2021

    • Author(s)
      Yu Ito, Toru Sera and Kouji Yano
    • Journal Title

      Research on the Theory of Random Dynamical Systems and Fractal Geometry, RIMS Kokyuroku

      Volume: 2176

    • NAID

      120007141903

    • Related Report
      2021 Research-status Report
    • Open Access
  • [Journal Article] Highly irregular orbits for subshifts of finite type: large intersections and emergence2021

    • Author(s)
      Nakano Yushi、Zelerowicz Agnieszka
    • Journal Title

      Nonlinearity

      Volume: 34 Issue: 11 Pages: 7609-7632

    • DOI

      10.1088/1361-6544/ac24e1

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Mixing and observation for Markov operator cocycles*2021

    • Author(s)
      Nakamura Fumihiko、Nakano Yushi、Toyokawa Hisayoshi
    • Journal Title

      Nonlinearity

      Volume: 35 Issue: 1 Pages: 66-83

    • DOI

      10.1088/1361-6544/ac355f

    • Related Report
      2021 Research-status Report
    • Peer Reviewed
  • [Journal Article] Quenched exponential mixing for random expanding semiflows2021

    • Author(s)
      Yushi Nakano
    • Journal Title

      Research on the Theory of Random Dynamical Systems and Fractal Geometry, RIMS Kokyuroku

      Volume: 2176

    • NAID

      120007141899

    • Related Report
      2021 Research-status Report
    • Open Access
  • [Journal Article] Markov operator cocycle の漸近的周期性2021

    • Author(s)
      Fumihiko Nakamura, Yushi Nakano
    • Journal Title

      Research on the Theory of Random Dynamical Systems and Fractal Geometry, RIMS Kokyuroku

      Volume: 2176

    • Related Report
      2021 Research-status Report
    • Open Access
  • [Journal Article] Mixing properties for Markov operator cocycles2021

    • Author(s)
      Fumihiko Nakamura, Yushi Nakano
    • Journal Title

      Problems on mathematical science and new development in the theory of dynamical systems, RIMS Kokyuroku

      Volume: 2181

    • NAID

      120007141811

    • Related Report
      2021 Research-status Report
    • Open Access
  • [Journal Article] On the existence of absolutely continuous σ-finite invariant measures for random dynamical systems2021

    • Author(s)
      Hisayoshi Toyokawa
    • Journal Title

      Research on the Theory of Random Dynamical Systems and Fractal Geometry, RIMS Kokyuroku

      Volume: 2176

    • NAID

      120007141888

    • Related Report
      2021 Research-status Report
    • Open Access
  • [Journal Article] σ-finite acims for weakly expanding random maps with uniformly contractive branches2021

    • Author(s)
      Hisayoshi Toyokawa
    • Journal Title

      Problems on mathematical science and new development in the theory of dynamical systems, RIMS Kokyuroku

      Volume: 2181

    • NAID

      120007141824

    • Related Report
      2021 Research-status Report
    • Open Access
  • [Journal Article] Irregular sets for piecewise monotonic maps2021

    • Author(s)
      Yushi Nakano, Kenichiro Yamamoto
    • Journal Title

      Tokyo Journal of Mathematics

      Volume: -

    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] Stochastic Chaos in von Karman Swirling Flow2020

    • Author(s)
      佐藤 譲
    • Journal Title

      Butsuri

      Volume: 75 Issue: 5 Pages: 274-278

    • DOI

      10.11316/butsuri.75.5_274

    • NAID

      130007925887

    • ISSN
      0029-0181, 2423-8872
    • Year and Date
      2020-05-05
    • Related Report
      2020 Research-status Report
  • [Journal Article] Fluctuation scaling limits for positive recurrent jumping-in diffusions with small jumps2020

    • Author(s)
      Yamato Kosuke、Yano Kouji
    • Journal Title

      Journal of Functional Analysis

      Volume: 279 Issue: 7 Pages: 108655-108655

    • DOI

      10.1016/j.jfa.2020.108655

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Aging arcsine law in Brownian motion and its generalization2020

    • Author(s)
      Akimoto Takuma、Sera Toru、Yamato Kosuke、Yano Kouji
    • Journal Title

      Physical Review E

      Volume: 102 Issue: 3 Pages: 032103-032103

    • DOI

      10.1103/physreve.102.032103

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Asymptotic estimates of SARS-CoV-2 infection counts and their sensitivity to stochastic perturbation2020

    • Author(s)
      Faranda Davide、Castillo Isaac Perez、Hulme Oliver、Jezequel Aglae、Lamb Jeroen S. W.、Sato Yuzuru、Thompson Erica L.
    • Journal Title

      Chaos: An Interdisciplinary Journal of Nonlinear Science

      Volume: 30 Issue: 5 Pages: 051107-051107

    • DOI

      10.1063/5.0008834

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Permutations uniquely identify states and unknown external forces in non-autonomous dynamical systems2020

    • Author(s)
      Hirata Yoshito、Sato Yuzuru、Faranda Davide
    • Journal Title

      Chaos: An Interdisciplinary Journal of Nonlinear Science

      Volume: 30 Issue: 10 Pages: 103103-103103

    • DOI

      10.1063/5.0009450

    • NAID

      120007182859

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Hereditarily non uniformly perfect non-autonomous Julia sets2020

    • Author(s)
      Comerford Mark、Stankewitz Rich、Sumi Hiroki
    • Journal Title

      Discrete & Continuous Dynamical Systems - A

      Volume: 40 Issue: 1 Pages: 33-46

    • DOI

      10.3934/dcds.2020002

    • Related Report
      2020 Research-status Report 2019 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] The Hausdorff dimension function of the family of conformal iterated function systems of generalized complex continued fractions2020

    • Author(s)
      Inui Kanji、Okada Hikaru、Sumi Hiroki
    • Journal Title

      Discrete & Continuous Dynamical Systems - A

      Volume: 40 Issue: 2 Pages: 753-766

    • DOI

      10.3934/dcds.2020060

    • Related Report
      2020 Research-status Report 2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Hausdorff measures and packing measures of limit sets of CIFSs of generalized complex continued fractions2020

    • Author(s)
      Inui Kanji、Sumi Hiroki
    • Journal Title

      Journal of Difference Equations and Applications

      Volume: 26 Issue: 1 Pages: 104-121

    • DOI

      10.1080/10236198.2019.1709063

    • Related Report
      2020 Research-status Report 2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Spectral Gap Property for Random Dynamics on the Real Line and Multifractal Analysis of Generalised Takagi Functions2020

    • Author(s)
      Jaerisch Johannes、Sumi Hiroki
    • Journal Title

      Communications in Mathematical Physics

      Volume: 377 Issue: 1 Pages: 1-36

    • DOI

      10.1007/s00220-020-03766-5

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Multifractal formalism for generalised local dimension spectra of Gibbs measures on the real line2020

    • Author(s)
      Jaerisch Johannes、Sumi Hiroki
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 491 Issue: 2 Pages: 124246-124246

    • DOI

      10.1016/j.jmaa.2020.124246

    • NAID

      120006948924

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Spectral gap property for random dynamics on the real line and multifractal analysis of generalized Takagi functions2020

    • Author(s)
      Jaerisch Johannes、Sumi Hiroki
    • Journal Title

      Comm. Math. Phys.

      Volume: -

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Multiray generalization of the arcsine laws for occupation times of infinite ergodic transformations2019

    • Author(s)
      Sera Toru、Yano Kouji
    • Journal Title

      Transactions of the American Mathematical Society

      Volume: 372 Issue: 5 Pages: 3191-3209

    • DOI

      10.1090/tran/7755

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Generalized refracted Levy process and its application to exit problem2019

    • Author(s)
      Kei Noba and Kouji Yano
    • Journal Title

      Stochastic Process. Appl.

      Volume: 129:5 Issue: 5 Pages: 1697-1725

    • DOI

      10.1016/j.spa.2018.06.004

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] 多粒子有限状態の無限過去を持つ時間発展に対する情報系分解問題2019

    • Author(s)
      伊藤悠、世良透、矢野孝次
    • Journal Title

      確率論シンポジウム・数理解析研究所講究録

      Volume: 2116

    • Related Report
      2019 Research-status Report
    • Open Access
  • [Journal Article] 無限過去を持つ時間発展の情報系分解問題について2019

    • Author(s)
      矢野孝次
    • Journal Title

      ランダム力学系理論の総合的研究・数理解析研究所講究録

      Volume: 2115

    • Related Report
      2019 Research-status Report
    • Open Access
  • [Journal Article] Anomalous Diffusion in Random Dynamical Systems2019

    • Author(s)
      Sato Yuzuru、Klages Rainer
    • Journal Title

      Physical Review Letters

      Volume: 122 Issue: 17 Pages: 174101-174101

    • DOI

      10.1103/physrevlett.122.174101

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Minimal dynamical systems model of the Northern Hemisphere jet stream via embedding of climate data2019

    • Author(s)
      Faranda Davide、Sato Yuzuru、Messori Gabriele、Moloney Nicholas R.、Yiou Pascal
    • Journal Title

      Earth System Dynamics

      Volume: 10 Issue: 3 Pages: 555-567

    • DOI

      10.5194/esd-10-555-2019

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Hereditarily non-uniformly perfect sets2019

    • Author(s)
      R. Stankewitz, T. Sugawa and H. Sumi
    • Journal Title

      Discrete and Continuous Dynamical Systems Ser. S.

      Volume: 12 Issue: 8 Pages: 2391-2402

    • DOI

      10.3934/dcdss.2019150

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Non-i.i.d. random holomorphic dynamical systems and the probability of tending to infinity2019

    • Author(s)
      Sumi Hiroki、Watanabe Takayuki
    • Journal Title

      Nonlinearity

      Volume: 32 Issue: 10 Pages: 3742-3771

    • DOI

      10.1088/1361-6544/ab231e

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Spectra of expanding maps on Besov spaces2019

    • Author(s)
      Nakano Yushi、Sakamoto Shota
    • Journal Title

      Discrete & Continuous Dynamical Systems - A

      Volume: 39 Issue: 4 Pages: 1779-1797

    • DOI

      10.3934/dcds.2019077

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Existence and non-existence of length averages for foliations2019

    • Author(s)
      Nakano Yushi、Yokoyama Tomoo
    • Journal Title

      Commun. Math. Phys.

      Volume: 372 Issue: 2 Pages: 367-383

    • DOI

      10.1007/s00220-019-03490-9

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Historic behavior in nonhyperbolic homoclinic classes2019

    • Author(s)
      Barrientos Pablo G.、Kiriki Shin、Nakano Yushi、Raibekas Artem、Soma Teruhiko
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 148 Issue: 3 Pages: 1195-1206

    • DOI

      10.1090/proc/14809

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] ランダム連続写像により駆動される作用発展の情報系分解2024

    • Author(s)
      矢野孝次
    • Organizer
      拡散過程セミナー
    • Related Report
      2023 Annual Research Report
  • [Presentation] Arcsine and Darling--Kac laws for piecewise linear random interval maps2023

    • Author(s)
      Kouji Yano
    • Organizer
      ICIAM2023
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Arcsine and Darling--Kac laws for piecewise linear random interval maps2023

    • Author(s)
      Kouji Yano
    • Organizer
      Mathematics of Random Systems: Summer School 2023
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Finitude of physical measures for random maps2023

    • Author(s)
      Yushi Nakano
    • Organizer
      Thermodynamic Formalism for Random Dynamical Systems, MATRIX
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Existence and non-existence of Lyapunov exponents for (random) non-hyperbolic dynamical systems2023

    • Author(s)
      Yushi Nakano
    • Organizer
      Ergodic Theory, Dynamical Systems, and Climate Sciences
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Masur-Veech 測度に関する Kontsevich-Zorich コサイクルのエルゴード理論2023

    • Author(s)
      中野雄史
    • Organizer
      研究集会「タイヒミュラー空間の力学系入門」
    • Related Report
      2022 Research-status Report
  • [Presentation] 平行移動流と区間交換変換のエルゴード理論2023

    • Author(s)
      中野雄史
    • Organizer
      研究集会「タイヒミュラー空間の力学系入門」
    • Related Report
      2022 Research-status Report
  • [Presentation] Some constrictive properties for Markov operator and physical measures2023

    • Author(s)
      Fumihiko Nakamura
    • Organizer
      International Workshop on Ergodic Theory, Dynamical Systems, and Climate Sciences
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Local time penalizations with various clocks for Levy processes2022

    • Author(s)
      Kouji Yano
    • Organizer
      Theory of Markov Semigroups and Schr?dinger Operators, Wroc?aw University (online seminar)
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] Local time penalizations with various clocks for Levy processes2022

    • Author(s)
      Kouji Yano
    • Organizer
      International Workshop on Dirichlet Forms and Related Topics, Kansai University (hybrid conference)
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Local time penalizations with various clocks for Levy processes2022

    • Author(s)
      Kouji Yano
    • Organizer
      Seminario Interinstitucional de Matrices Aleatorias SIMA 2022, CIMAT (hybrid conference)
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Random Dynamical Systems of Regular Polynomial Maps on $\Bbb{C}^{2}$2022

    • Author(s)
      Hiroki Sumi
    • Organizer
      Dynamical systems and systems of equations
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Random Dynamical Systems of Regular Polynomial Maps on $\Bbb{C}^{2}$2022

    • Author(s)
      Hiroki Sumi
    • Organizer
      The 7th International Conference on Random Dynamical Systems
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Random relaxed Newton's methods2022

    • Author(s)
      Hiroki Sumi
    • Organizer
      RIMS共同研究「ランダム力学系・非自励力学系研究の展望:理論と応用」
    • Related Report
      2022 Research-status Report
  • [Presentation] Random Dynamical Systems of Polynomial Automorphisms on $\Bbb{C}^{2}$2022

    • Author(s)
      Hiroki Sumi
    • Organizer
      RIMS共同研究「複素力学系と関連分野」
    • Related Report
      2022 Research-status Report
    • Invited
  • [Presentation] Lyapunov指数の基礎 (1):Oseledetsエルゴード定理2022

    • Author(s)
      中野雄史
    • Organizer
      ミニワークショップ「複素力学系入門」
    • Related Report
      2022 Research-status Report
    • Invited
  • [Presentation] Lyapunov指数の基礎 (2):不変原理2022

    • Author(s)
      中野雄史
    • Organizer
      ミニワークショップ「複素力学系入門」
    • Related Report
      2022 Research-status Report
    • Invited
  • [Presentation] Lyapunov指数の基礎 (3):Zorich-Kontsevich予想2022

    • Author(s)
      中野雄史
    • Organizer
      ミニワークショップ「複素力学系入門」
    • Related Report
      2022 Research-status Report
    • Invited
  • [Presentation] A review on intermittency for Pomeau-Manneville maps and random dynamical systems2022

    • Author(s)
      中野雄史
    • Organizer
      RIMS 共同研究集会「ランダム力学系・非自励力学系研究の展望:理論と応用」
    • Related Report
      2022 Research-status Report
    • Invited
  • [Presentation] ランダムな物理測度の有限性とMarkov作用素2022

    • Author(s)
      中野雄史
    • Organizer
      冬の力学系研究集会
    • Related Report
      2021 Research-status Report
  • [Presentation] Mixing and observation for Markov operator cocycles2022

    • Author(s)
      中村文彦
    • Organizer
      RIMS共同研究「エルゴード理論の最近の発展」
    • Related Report
      2021 Research-status Report
    • Invited
  • [Presentation] Arcsine law for a piecewise linear random map2021

    • Author(s)
      Kouji Yano
    • Organizer
      Session "Ergodic Theory, Dynamical Systems, Fractals and Applications", CMS Summer Meeting
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Arcsine law for a piecewise linear random interval map2021

    • Author(s)
      矢野孝次
    • Organizer
      ランダム力学系および多価写像力学系理論の総合的研究
    • Related Report
      2021 Research-status Report
    • Invited
  • [Presentation] Arcsine law for a piecewise linear random interval map2021

    • Author(s)
      矢野孝次
    • Organizer
      日本数学会秋季総合分科会統計数学分科会
    • Related Report
      2021 Research-status Report
  • [Presentation] Arcsine and Darling--Kac laws for piecewise linear random interval maps2021

    • Author(s)
      矢野孝次
    • Organizer
      エルゴード理論とその周辺
    • Related Report
      2021 Research-status Report
  • [Presentation] Arcsine and Darling--Kac laws for piecewise linear random interval maps2021

    • Author(s)
      矢野孝次
    • Organizer
      確率論シンポジウム
    • Related Report
      2021 Research-status Report
  • [Presentation] Local time penalizations with various clocks for Levy processes2021

    • Author(s)
      Kouji Yano
    • Organizer
      Nonlocality in Analysis, Probability and Statistics, MFO-RIMS Tandem Workshop
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Stochastic chaos in random dynamical systems and its Applications2021

    • Author(s)
      Yuzuru Sato
    • Organizer
      Mathematical Science of Complex Systems: Physics, Chemistry, Biology, Information and Chaos
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Stochastic bifurcation in a turbulent swirling flow2021

    • Author(s)
      Yuzuru Sato
    • Organizer
      RIMS workshop on dynamical systems
    • Related Report
      2021 Research-status Report
  • [Presentation] Stochastic bifurcation in a turbulent swirling flow2021

    • Author(s)
      Yuzuru Sato
    • Organizer
      Mathematical methods for the studies of flow, shape, and dynamics
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] Existence of multiple noise-induced transitions in Lasota-Mackey map2021

    • Author(s)
      Yuzuru Sato
    • Organizer
      Hokkaido Summer Institute on Computational Ergodic Theory
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Stochastic bifurcation in a turbulent swirling flow2021

    • Author(s)
      Yuzuru Sato
    • Organizer
      ダイナミカルシステムとその周辺
    • Related Report
      2021 Research-status Report
    • Invited
  • [Presentation] Stochastic bifurcation in a turbulent swirling flow2021

    • Author(s)
      Yuzuru Sato
    • Organizer
      17th Japan-Slovenia Seminar on Nonlinear Science
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Random Dynamical Systems of Regular Polynomial Maps on $\Bbb{C}^{2}$2021

    • Author(s)
      Hiroki Sumi
    • Organizer
      Dynamics of (Semi-)Group Actions
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Random Dynamical Systems of Regular Polynomial Maps on $\Bbb{C}^{2}$2021

    • Author(s)
      Hiroki Sumi
    • Organizer
      RIMS共同研究「ランダム力学系および多価写像力学系理論の総合的研究」
    • Related Report
      2021 Research-status Report
  • [Presentation] Random Dynamical Systems of Regular Polynomial Maps on $\Bbb{C}^{2}$2021

    • Author(s)
      Hiroki Sumi
    • Organizer
      RIMS共同研究「複素力学系の諸相」
    • Related Report
      2021 Research-status Report
    • Invited
  • [Presentation] (ランダム)力学系におけるLyapunov非正則集合の観測可能性2021

    • Author(s)
      中野雄史
    • Organizer
      ランダム力学系および多価写像力学系理論の総合的研究
    • Related Report
      2021 Research-status Report
    • Invited
  • [Presentation] Finitude of random physical measures via Markov operators2021

    • Author(s)
      中野雄史
    • Organizer
      エルゴード理論とその周辺
    • Related Report
      2021 Research-status Report
  • [Presentation] A survey on noncommutative entropy of Exel-Laca algebras2021

    • Author(s)
      中野雄史
    • Organizer
      作用素環と力学系
    • Related Report
      2021 Research-status Report
  • [Presentation] Random invariant density and mean ergodic theorem2021

    • Author(s)
      中村文彦
    • Organizer
      RIMS共同研究「ランダム力学系および多価写像力学系理論の総合的研究」
    • Related Report
      2021 Research-status Report
    • Invited
  • [Presentation] Mean ergodic theorem for linear operator cocycles2021

    • Author(s)
      中村文彦
    • Organizer
      エルゴード理論とその周辺
    • Related Report
      2021 Research-status Report
  • [Presentation] Invariant measures for random piecewise convex maps with the common indifferent fixed point2021

    • Author(s)
      Hisayoshi Toyokawa
    • Organizer
      Quantitative aspects in complex analysis, geometry and dynamics, Lille University
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] Absolutely continuous σ-finite invariant measures for weakly expanding random maps with a flat point2021

    • Author(s)
      豊川永喜
    • Organizer
      北海道力学系 web セミナー
    • Related Report
      2021 Research-status Report
    • Invited
  • [Presentation] Invariant measures for random piecewise convex maps with indifferent fixed points2021

    • Author(s)
      豊川永喜
    • Organizer
      ランダム力学系および多価写像力学系理論の総合的研究
    • Related Report
      2021 Research-status Report
    • Invited
  • [Presentation] マルコフ作用素に対する不変測度の存在と一次元ランダム力 学系への応用2021

    • Author(s)
      豊川永喜
    • Organizer
      確率論研究会
    • Related Report
      2021 Research-status Report
    • Invited
  • [Presentation] σ-finite invariant measures for Markov operators and the ratio sets for non-invertible transformations2021

    • Author(s)
      豊川永喜
    • Organizer
      ワークショップ「作用素環と力学系」
    • Related Report
      2021 Research-status Report
    • Invited
  • [Presentation] Generalization of the arcsine laws for infinite ergodic transformations2020

    • Author(s)
      Kouji Yano
    • Organizer
      Bernoulli-IMS One World Symposium 2020
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] Stochastic bifurcation in a turbulent swirling flow2020

    • Author(s)
      Yuzuru Sato
    • Organizer
      CRITICS workshop 2020
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Anomalous diffusion in random dynamical systems2020

    • Author(s)
      Yuzuru Sato
    • Organizer
      Dynamics Days Digital 2020
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Noise-induced degeneration in online learning2020

    • Author(s)
      Yuzuru Sato
    • Organizer
      Dynamical systems and machine learning
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Noise-induced degeneration in online learning2020

    • Author(s)
      佐藤譲
    • Organizer
      数理科学の諸問題と力学系理論の新展開
    • Related Report
      2020 Research-status Report
  • [Presentation] Stochastic chaos in random dynamical systems and its applications2020

    • Author(s)
      Yuzuru Sato
    • Organizer
      Mathematical Science of Complex Systems: Physics, Chemistry, Biology, Information and Chaos
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] ランダムな複素力学系における様々なランダム性誘起現象とそのメカニズム2020

    • Author(s)
      角大輝
    • Organizer
      日本数学会
    • Related Report
      2020 Research-status Report
    • Invited
  • [Presentation] Non-uniformly perfect Julia sets of non-autonomous dynamics of unbounded sequences of polynomials2020

    • Author(s)
      角大輝
    • Organizer
      数理解析研究所共同研究(公開型)「複素力学系理論の総合的研究」
    • Related Report
      2020 Research-status Report
    • Invited
  • [Presentation] Irregular sets with high emergence2020

    • Author(s)
      Yushi Nakano
    • Organizer
      1st workshop on wild dynamical systems
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Large intersection classes for pointwise emergence2020

    • Author(s)
      Yushi Nakano
    • Organizer
      RIMS 研究集会「数理科学の諸問題と力学系理論の新展開」
    • Related Report
      2020 Research-status Report
  • [Presentation] Large intersection classes for pointwise emergence2020

    • Author(s)
      Yushi Nakano
    • Organizer
      Zoominar in Dynamical Systems at CMUP
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Non-uniformly perfect Julia sets of non-autonomous dynamics of unbounded sequences of polynomials2020

    • Author(s)
      Hiroki Sumi
    • Organizer
      2019年度冬の力学系研究集会
    • Related Report
      2019 Research-status Report
  • [Presentation] Quenched metastability for random expanding maps2020

    • Author(s)
      Yushi Nakano
    • Organizer
      2019年度 冬の力学系研究集会
    • Related Report
      2019 Research-status Report
  • [Presentation] The third noise problems for action evolution with infinite past2019

    • Author(s)
      Kouji Yano
    • Organizer
      Interactions between commutative and non-commutative probability
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] The third noise problems for action evolution with infinite past2019

    • Author(s)
      Kouji Yano
    • Organizer
      Research on the Theory of Random Dynamical Systems and Fractal Geometry
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Anomalous diffusion in random dynamical systems2019

    • Author(s)
      Yuzuru Sato
    • Organizer
      DCP19
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Stochastic bifurcation in a turbulent swirling flow2019

    • Author(s)
      Yuzuru Sato
    • Organizer
      LML summer school
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Stochastic bifurcation in a turbulent swirling flow2019

    • Author(s)
      Yuzuru Sato
    • Organizer
      ICIAM
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Stochastic bifurcation in a turbulent swirling flow2019

    • Author(s)
      Yuzuru Sato
    • Organizer
      Data analysis and machine learning in dynamical systems 2019
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Anomalous diffusion in random dynamical systems2019

    • Author(s)
      Yuzuru Sato
    • Organizer
      The Mathematics of Climate and Environment
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Noise-induced Statistical Periodicity in Lasota-Mackey Maps2019

    • Author(s)
      Yuzuru Sato
    • Organizer
      Research on the Theory of Random Dynamical Systems and Fractal Geometry
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Anomalous diffusion and intermittency in deterministic /random dynamical systems2019

    • Author(s)
      Yuzuru Sato
    • Organizer
      Research on the Theory of Random Dynamical Systems and Fractal Geometry
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Stochastic bifurcation in a turbulent swirling flow2019

    • Author(s)
      Yuzuru Sato
    • Organizer
      JSIAM
    • Related Report
      2019 Research-status Report
  • [Presentation] Stochastic bifurcation and intermittency in random dynamical systems2019

    • Author(s)
      Yuzuru Sato
    • Organizer
      マクロ経済動学の非線形数理
    • Related Report
      2019 Research-status Report
  • [Presentation] Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps2019

    • Author(s)
      Hiroki Sumi
    • Organizer
      Thermodynamic Formalism - Applications to Geometry, Number Theory, and Stochastics
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps2019

    • Author(s)
      Hiroki Sumi
    • Organizer
      The 2019 Fall Program of Low-Dimensional Dynamics
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps2019

    • Author(s)
      Hiroki Sumi
    • Organizer
      ランダム力学系理論とフラクタル幾何学の研究
    • Related Report
      2019 Research-status Report
  • [Presentation] Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps2019

    • Author(s)
      Hiroki Sumi
    • Organizer
      第9回岐阜数理科学研究会
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] Classification of generic random holomorphic dynamical systems associated with analytic families of rational maps2019

    • Author(s)
      Hiroki Sumi
    • Organizer
      エルゴード理論とその周辺
    • Related Report
      2019 Research-status Report
  • [Presentation] Random holomorphic dynamical systems associated with analytic families of holomorphic maps2019

    • Author(s)
      Hiroki Sumi
    • Organizer
      複素力学系の分岐と安定性の研究
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] Quenched exponential mixing for random expanding semiflows2019

    • Author(s)
      Yushi Nakano
    • Organizer
      Research on the Theory of Random Dynamical Systems and Fractal Geometry
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Emergence via non-existence of averages2019

    • Author(s)
      Yushi Nakano
    • Organizer
      Seminar in dynamical systems
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Quenched exponential mixing for random expanding semiflows2019

    • Author(s)
      Yushi Nakano
    • Organizer
      華中科技大学 学術講演
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Quenched limit theorems for random U(1) extensions of expanding maps2019

    • Author(s)
      Yushi Nakano
    • Organizer
      Keio Dynamics Day - spectral approaches in dynamics -
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Emergence via non-existence of averages2019

    • Author(s)
      Yushi Nakano
    • Organizer
      Chubu Workshop on Dynamical Systems and Chaos
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 時間平均の非存在による創発現象2019

    • Author(s)
      Yushi Nakano
    • Organizer
      エルゴード理論とその周辺
    • Related Report
      2019 Research-status Report
  • [Presentation] Emergence via non-existence of averages2019

    • Author(s)
      Yushi Nakano
    • Organizer
      Thermodynamic Formalism: Dynamical Systems, Statistical Properties and their Applications
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Funded Workshop] Research on the Theory of Random Dynamical Systems and Fractal Geometry2019

    • Related Report
      2019 Research-status Report
  • [Funded Workshop] Data analysis and machine learning in dynamical systems2019

    • Related Report
      2019 Research-status Report

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Published: 2019-07-04   Modified: 2025-01-30  

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