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Origin of fractality in complex networks and self-organized criticality

Research Project

Project/Area Number 16K05466
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionHokkaido University

Principal Investigator

Yakubo Kousuke  北海道大学, 工学研究院, 教授 (40200480)

Co-Investigator(Kenkyū-buntansha) 小布施 秀明  北海道大学, 工学研究院, 助教 (50415121)
Project Period (FY) 2016-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2018: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2016: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywordsフラクタル / 臨界現象 / 複雑ネットワーク / スモールワールド / 自己組織化 / 数理物理
Outline of Final Research Achievements

Studying the origin of fractality found in many real-world complex networks, we have obtained the following results. (1) We proposed a model of fractal complex networks based on an SOC dynamics driven by the antagonistic relationship between the growth of a functional network and its cascading overload failure, (2) we have shown a fractal and small-world structures, and their structural crossover in the process of time development of the SOC model, (3) to clarify the role of a long-range repulsive correlation between hub nodes to the fractal property, long-range degree correlations in a complex network have been formulated in a quite general manner, and (4) we have elucidated that fractality cannot be realized only by nearest-neighbor degree correlations but a long-range hub repulsion is closely related to the origin of fractality.

Academic Significance and Societal Importance of the Research Achievements

現実の複雑ネットワークはスモールワールド性を有する構造とフラクタル性をもつ構造に大別される。この内フラクタル構造の起源は未だ明らかにされていなかったが、本研究でSOCがフラクタル構造の一つの起源であることが解明されらことにより、大域的構造相関の発現がユークリッド距離の有無と無関係に統一的に理解できることが明らかとなった。また、複雑ネットワークにおける長距離次数相関という大域的構造相関が一般的に定式化されたことで、ネットワークの様々な構造的性質やネットワーク上のダイナミクスが長距離次数相関とどのように関係しているかを定量的に研究するための礎が築かれた。

Report

(4 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (85 results)

All 2019 2018 2017 2016 Other

All Int'l Joint Research (4 results) Journal Article (8 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 8 results,  Open Access: 3 results,  Acknowledgement Compliant: 2 results) Presentation (73 results) (of which Int'l Joint Research: 39 results,  Invited: 20 results)

  • [Int'l Joint Research] マリボル大学(スロベニア)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] University of Maribor(スロベニア)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] Sungkyunkwan University/Pukyong National University/Hanyang University(韓国)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] マリボル大学(スロベニア)

    • Related Report
      2016 Research-status Report
  • [Journal Article] General formulation of long-range degree correlations in complex networks2018

    • Author(s)
      Fujiki Yuka, Takaguchi Taro, Yakubo Kousuke
    • Journal Title

      Physical Review E

      Volume: 97 Issue: 6 Pages: 0623081-8

    • DOI

      10.1103/physreve.97.062308

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Higher winding number in a nonunitary photonic quantum walk2018

    • Author(s)
      Xiao Lei, Qiu Xingze, Wang Kunkun, Bian Zhihao, Zhan Xiang, Obuse Hideaki, Sanders Barry C., Yi Wei, Xue Peng
    • Journal Title

      Physical Review A

      Volume: 98 Issue: 6 Pages: 0638471-10

    • DOI

      10.1103/physreva.98.063847

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Fractality and degree correlations in scale-free networks2017

    • Author(s)
      Fujiki Yuka、Mizutaka Shogo、Yakubo Kousuke
    • Journal Title

      European Physical Journal B

      Volume: 90 Issue: 7

    • DOI

      10.1140/epjb/e2017-80031-x

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Structural instability of large-scale functional networks2017

    • Author(s)
      Shogo Mizutaka, Kousuke Yakubo
    • Journal Title

      Plos One

      Volume: 12 Issue: 7 Pages: e0181247-e0181247

    • DOI

      10.1371/journal.pone.0181247

    • NAID

      120006344446

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Observation of topological edge states in parity-time-symmetric quantum walks2017

    • Author(s)
      L. Xiao, X. Zhan, Z. H. Bian, K. K. Wang, X. Zhang, X. P. Wang, J. Li, K. Mochizuki, D. Kim, N. Kawakami, W. Yi, H. Obuse, B. C. Sanders, P. Xue
    • Journal Title

      Nature Physics

      Volume: 13 Issue: 11 Pages: 1117-1123

    • DOI

      10.1038/nphys4204

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Sensitivity of quantum walks to a boundary of two-dimensional lattices: approaches based on the CGMV method and topological phases2017

    • Author(s)
      Takako Endo, Norio Konno, Hideaki Obuse, Etsuo Segawa
    • Journal Title

      Journal of Physics A -Mathematical and Theoretical

      Volume: 50 Issue: 45 Pages: 455302-455302

    • DOI

      10.1088/1751-8121/aa8c5e

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Effects of Disorder on Non-unitary <i>PT</i> Symmetric Quantum Walks2017

    • Author(s)
      Ken Mochizuki and Hideaki Obuse
    • Journal Title

      Interdisciplinary Information Sciences

      Volume: 23 Issue: 1 Pages: 95-103

    • DOI

      10.4036/iis.2017.A.12

    • NAID

      130005519659

    • ISSN
      1340-9050, 1347-6157
    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Explicit definition of PT symmetry for nonunitary quantum walks with gain and loss2016

    • Author(s)
      Ken Mochizuki, Dakyeong Kim, and Hideaki Obuse
    • Journal Title

      Physical Review A

      Volume: 93 Issue: 6

    • DOI

      10.1103/physreva.93.062116

    • NAID

      120005820741

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] Topological Phases on Non-Hermitian systems with PT symmetry: Quantum Walk Approach2019

    • Author(s)
      Hideaki Obuse
    • Organizer
      Topological Material Science: 4th Annual Meeting
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] トポロジカル相の動的制御による1次元エッジ状態の輸送2019

    • Author(s)
      藤澤有祐, 矢久保考介, 川上則雄, 小布施秀明
    • Organizer
      日本物理学会 第74回年次大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] PT対称な非エルミート系におけるトポロジカル相と実証実験:量子ウォークによるアプローチ2019

    • Author(s)
      小布施 秀明
    • Organizer
      日本物理学会第74回年次大会 領域4,1,5,11合同シンポジウム「非エルミート量子力学の新展開」
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 乱れのある一次元非エルミート模型における統計的性質2019

    • Author(s)
      望月健, 羽田野直道, Joshua Feinberg, 小布施秀明
    • Organizer
      日本物理学会第74回年次大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] トポロジカル相の動的制御による1次元エッジ状態の輸送2019

    • Author(s)
      藤澤有祐, 矢久保考介, 川上則雄, 小布施秀明
    • Organizer
      日本物理学会第74回年次大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] IBM Qを用いた3ステップ量子ウォークの実装2019

    • Author(s)
      河崎真樹男, 望月健, 川上則雄, 小布施秀明
    • Organizer
      日本物理学会第74回年次大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] General description of long-range degree correlations in complex networks2018

    • Author(s)
      Kousuke Yakubo
    • Organizer
      The 6th International Workshop on Physics of Social Complexity (PoSCo)
    • Related Report
      2018 Annual Research Report 2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] A general framework for analyzing long-range degree correlations in complex networks2018

    • Author(s)
      Yuka Fujiki, Taro Takaguchi, Kousuke Yakubo
    • Organizer
      NetSci 2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] General framework to analyze long-range degree correlations in complex networks2018

    • Author(s)
      Yuka Fujiki, Kousuke Yakubo
    • Organizer
      UK Japan Engineering Education League Workshop 2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Topological phases on quantum walks2018

    • Author(s)
      Hideaki Obuse
    • Organizer
      Workshop: Mathematical approach for topological physics (I)
    • Related Report
      2018 Annual Research Report 2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Edge states in PT symmetric quantum walks with higher topological numbers2018

    • Author(s)
      Hideaki Obuse
    • Organizer
      Non-Hermitian Physics - PHHQP XVIII
    • Related Report
      2018 Annual Research Report 2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] PT symmetry and stability of edge states in nonlinear quantum walks2018

    • Author(s)
      Ken Mochizuki, Norio Kawakami, Hideaki Obuse
    • Organizer
      Non-Hermitian Physics - PHHQP XVIII
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Topological phases on PT symmetric non-unitary quantum walks2018

    • Author(s)
      Hideaki Obuse
    • Organizer
      second TMS-PKU allianace workshop in Beijing
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 隣接相関に付随する長距離次数相関と非付随的相関の識別2018

    • Author(s)
      藤木結香, 矢久保考介
    • Organizer
      日本物理学会 2018年秋季大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] トポロジカル相と対称性を活用した量子状態制御 : 量子ウォークによるアプローチ2018

    • Author(s)
      小布施 秀明
    • Organizer
      量子情報・物性の新潮流
    • Related Report
      2018 Annual Research Report
  • [Presentation] 非線形1次元量子ウォークにおけるエッジ状態の安定性2018

    • Author(s)
      望月健, 川上則雄, 小布施秀明
    • Organizer
      量子情報・物性の新潮流
    • Related Report
      2018 Annual Research Report
  • [Presentation] 動的変化するトポロジカル相を用いたエッジ状態輸送2018

    • Author(s)
      藤澤有祐, 矢久保考介, 川上則雄, 小布施秀明
    • Organizer
      量子情報・物性の新潮流
    • Related Report
      2018 Annual Research Report
  • [Presentation] PT対称な3ステップ量子ウォークにおけるトポロジカル相2018

    • Author(s)
      河崎真樹男, 望月健, 川上則雄, 小布施秀明
    • Organizer
      量子情報・物性の新潮流
    • Related Report
      2018 Annual Research Report
  • [Presentation] ランダムホッピング項を持つ非エルミートSSH模型における準位統計2018

    • Author(s)
      望月健, 小布施秀明
    • Organizer
      日本物理学会2018年秋季大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] PT対称な非エルミート系におけるトポロジカル相と実証実験:量子ウォークによるアプローチ2018

    • Author(s)
      小布施 秀明
    • Organizer
      第10回トポロジー連携研究会「非平衡系・非エルミート系の新奇量子現象」
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Degree correlations between distant nodes in complex networks2018

    • Author(s)
      Yuka Fujiki, Kousuke Yakubo
    • Organizer
      NetSci 2018
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] 長距離次数相関を表す指標2018

    • Author(s)
      藤木結香, 矢久保考介
    • Organizer
      日本物理学会 第73回年次大会
    • Related Report
      2017 Research-status Report
  • [Presentation] トポロジカル相を利用したエッジ状態の動的制御:等速運動する1次元エッジ状態に対するスペクトル解析と三準位モデルとの比較2018

    • Author(s)
      藤澤有祐,矢久保考介,川上則雄,小布施秀明
    • Organizer
      日本物理学会 第73回年次大会
    • Related Report
      2017 Research-status Report
  • [Presentation] PT対称な3ステップ量子ウォークにおけるトポロジカル相2018

    • Author(s)
      河崎真樹男, 望月健, 川上則雄, 小布施秀明
    • Organizer
      日本物理学会 第73回年次大会
    • Related Report
      2017 Research-status Report
  • [Presentation] Floqeut Topological Phases in PT Symmetric Passive Hadamard Quantum Walks2017

    • Author(s)
      Hideaki Obuse, Ken Mochizuki, Dakyeong Kim, Norio Kawakami
    • Organizer
      META 2017
    • Place of Presentation
      Songdo Convensia, Incheon, Korea
    • Year and Date
      2017-07-25
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] PT symmetry and pseudo-unitarity of nonunitrary quantum walks2017

    • Author(s)
      Ken Mochizuki, Hideaki Obuse
    • Organizer
      META 2017
    • Place of Presentation
      Songdo Convensia, Incheon, Korea
    • Year and Date
      2017-07-25
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Fractality of complex networks emerging from self-organized critical dynamics2017

    • Author(s)
      Kousuke Yakubo, Akitomo Watanabe, Shogo Mizutaka
    • Organizer
      International Conference on Statistical Physics
    • Place of Presentation
      Corfu Holiday Palace Hotel, Corfu, Greece
    • Year and Date
      2017-07-10
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Disassortative degree mixing and fractality of scale-free networks2017

    • Author(s)
      Yuka Fujiki, Shogo Mizutaka, Kousuke Yakubo
    • Organizer
      International Conference on Statistical Physics
    • Place of Presentation
      Corfu Holiday Palace Hotel, Corfu, Greece
    • Year and Date
      2017-07-10
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Floquet topological phases in PT symmetric non-unitary quantum walks: theory and experiment2017

    • Author(s)
      Hideaki Obuse
    • Organizer
      PHHQP17: Non-Hermitian Hamiltonians in Physics: Theory and Experiment
    • Place of Presentation
      Physikzentrum Bad Honnef, Bad Honnef, Germany
    • Year and Date
      2017-05-15
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Observation of edge states of Floquet topological phases in PT symmetric quantum walks2017

    • Author(s)
      Hideaki Obuse, Ken Mochizuki, Dakyeong Kim, Norio Kawakami L. Xiao, X. Zhan, Z.H. Bian, K.K. Wang, X. Zhang, X.P. Wang, J. Li, W. Yi, B. Sanders, P. Xue
    • Organizer
      International Conference on Topological Materials Science 2017 (TopoMat2017)
    • Place of Presentation
      東京工業大学(東京)
    • Year and Date
      2017-05-09
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] 自己組織化臨界性に基づくネットワーク形成の単純モデルの提案2017

    • Author(s)
      水高将吾, 矢久保考介
    • Organizer
      日本物理学会 第72回年次大会
    • Place of Presentation
      大阪大学(大阪市)
    • Year and Date
      2017-03-17
    • Related Report
      2016 Research-status Report
  • [Presentation] クラスター化されたネットワークの頑強性2017

    • Author(s)
      矢久保考介, 福士和也
    • Organizer
      日本物理学会 第72回年次大会
    • Place of Presentation
      大阪大学(大阪市)
    • Year and Date
      2017-03-17
    • Related Report
      2016 Research-status Report
  • [Presentation] 量子ウォークにおけるトポロジカル相2017

    • Author(s)
      小布施秀明
    • Organizer
      日本物理学会第72回年次大会 領域11,1合同シンポジウム「量子ウォークの深化とその周辺」
    • Place of Presentation
      大阪大学(大阪市)
    • Year and Date
      2017-03-17
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] 散逸を伴うPT対称な量子ウォークにおけるフロッケトポロジカル相の理論とエッジ状態の実験による観測2017

    • Author(s)
      小布施秀明, 望月健, 金多景, 川上則雄, A.L. Xiao, B.X. Zhan, Z.H. Bian, K.K. Wang, X. Zhang, X.P. Wang, J.Li, W. Yi, P. Xue
    • Organizer
      日本物理学会 第72回年次大会
    • Place of Presentation
      大阪大学(大阪市)
    • Year and Date
      2017-03-17
    • Related Report
      2016 Research-status Report
  • [Presentation] Topological phases in PT symmetric nonunitary quantum walks2017

    • Author(s)
      Ken Mochizuki, Dakyeong Kim, Norio Kawakami, Hideaki Obuse
    • Organizer
      International School on Topological Science and Topological Matters
    • Place of Presentation
      京都大学(京都市)
    • Year and Date
      2017-02-13
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] 量子ウォークにおけるトポロジカル相、及びアンダーソン転移との接点2017

    • Author(s)
      小布施秀明
    • Organizer
      数理解析研究所(RIMS)研究会「臨界関数不等式に関わる諸問題が持つ不変構造の探求」
    • Place of Presentation
      京都大学(京都市)
    • Year and Date
      2017-02-13
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Long-Range Degree Correlations in Complex Networks2017

    • Author(s)
      Kousuke Yakubo
    • Organizer
      The 2nd Workshop on Self-Organization and Robustness of Evolving Many-Body Systems
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Floqeut Topological Phases in PT Symmetric Quantum Walks with Gain and Loss2017

    • Author(s)
      Hideaki Obuse
    • Organizer
      The 1st Asia-Pacific Workshop on Trapped Quantum Systems (APTQS 2017)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Topological phases of quantum walks2017

    • Author(s)
      Hideaki Obuse
    • Organizer
      Mini Workshop: Mathematical Aspects of Topological Phases of Matter and Quantum Computing
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Fractality of Complex Networks Emerging from Self-Organized Critical Dynamics2017

    • Author(s)
      Kousuke Yakubo, Akitomo Watanabe, Shogo Mizutaka
    • Organizer
      SigmaPhi 2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Disassortative degree mixing and fractality of scale-free networks2017

    • Author(s)
      Yuka Fujiki, Shogo Mizutaka, Kousuke Yakubo
    • Organizer
      SigmaPhi 2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Floquet topological phases in PT symmetric non-unitary quantum walks: theory and experiment2017

    • Author(s)
      Hideaki Obuse
    • Organizer
      WE-Heraeus-Seminar Non-Hermitian Hamiltonians in Physics: Theory and Experiment
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Floqeut Topological Phases in PT Symmetric Quantum Walks with Gain and Loss2017

    • Author(s)
      Hideaki Obuse, Ken Mochizuki, Dakyeong Kim, Norio Kawakami
    • Organizer
      CLEO/Europe-EQEC 2017
    • Related Report
      2017 Research-status Report 2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Floquet Topological Phases in PT Symmetric Passive Hadamard Quantum Walks2017

    • Author(s)
      Hideaki Obuse, Ken Mochizuki, Dakyeong Kim, Norio Kawakami
    • Organizer
      META' 17
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] PT symmetry and pseudo-unitarity of nonunitrary quantum walks2017

    • Author(s)
      Ken Mochizuki, Hideaki Obuse
    • Organizer
      META' 17
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Observation of edge states of Floquet topological phases in PT symmetric quantum walks2017

    • Author(s)
      Hideaki Obuse
    • Organizer
      International Conference on Topological Materials Science 2017 (TopoMat2017)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Controlling Quantum Optical Dynamics by Topological Phases and Parity-Time Symmetry2017

    • Author(s)
      Hideaki Obuse
    • Organizer
      International Workshop on NanoScience and NanoOptics 2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] 隣接ノード伝播型過負荷故障カスケードに対するネットワークの頑強性2017

    • Author(s)
      鎌倉有希, 矢久保考介
    • Organizer
      日本物理学会 2017年秋季大会
    • Related Report
      2017 Research-status Report
  • [Presentation] 自己組織化臨界性に基づくネットワーク形成とその普遍クラス2017

    • Author(s)
      水高将吾, 矢久保考介
    • Organizer
      日本物理学会 2017年秋季大会
    • Related Report
      2017 Research-status Report
  • [Presentation] 自己組織化臨界動力学によるネットワークのスケールフリー性:マスター方程式からのアプローチ2017

    • Author(s)
      山根佳大,水高将吾, 矢久保考介
    • Organizer
      日本物理学会 2017年秋季大会
    • Related Report
      2017 Research-status Report
  • [Presentation] 長距離次数相関の一般的定式化:無次数相関グラフにおける確率関数の解析2017

    • Author(s)
      藤木結香, 矢久保考介
    • Organizer
      日本物理学会 2017年秋季大会
    • Related Report
      2017 Research-status Report
  • [Presentation] トポロジカル相の接合境界が動的に変化する1次元格子モデルにおけるエッジ状態2017

    • Author(s)
      藤澤有祐, 矢久保考介, 川上則雄, 小布施秀明
    • Organizer
      日本物理学会 2017年秋季大会
    • Related Report
      2017 Research-status Report
  • [Presentation] 非線形1次元量子ウォークにおけるエッジ状態の安定性とPT対称性2017

    • Author(s)
      望月健, 川上則雄, 小布施秀明
    • Organizer
      日本物理学会 2017年秋季大会
    • Related Report
      2017 Research-status Report
  • [Presentation] 2次元量子ウォークを用いた量子探索問題における不規則性の寄与2017

    • Author(s)
      清水洋祐, 小布施秀明
    • Organizer
      日本物理学会 2017年秋季大会
    • Related Report
      2017 Research-status Report
  • [Presentation] PT対称性を有する非ユニタリ-量子ウォーク2017

    • Author(s)
      小布施秀明
    • Organizer
      5th Yokohama workshop on quantum walks
    • Related Report
      2017 Research-status Report
  • [Presentation] Floquet Topological Phases Driven by PT Symmetric Non-unitary Time Evolution2016

    • Author(s)
      Hideaki Obuse, Ken Mochizuki, Dakyeong Kim, Norio Kawakami
    • Organizer
      Topological Material Science 2nd Annual Meeting
    • Place of Presentation
      東北大学(仙台市)
    • Year and Date
      2016-12-16
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Effects of disorder in PT symmetric non-unitary quantum walks2016

    • Author(s)
      Ken Mochizuki, Dakyeong Kim, Norio Kawakami, Hideaki Obuse
    • Organizer
      Topological Material Science 2nd Annual Meeting
    • Place of Presentation
      東北大学(仙台市)
    • Year and Date
      2016-12-16
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] PT symmetric non-unitary quantum walks2016

    • Author(s)
      Hideaki Obuse
    • Organizer
      Workshop of Quantum Simulation and Quantum Walks 2016
    • Place of Presentation
      Czech Technical University in Prague, Prague, Czech
    • Year and Date
      2016-11-17
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Sensitivity of a quantum walk to boundary2016

    • Author(s)
      Etsuo Segawa, Hideaki Obuse
    • Organizer
      Workshop of Quantum Simulation and Quantum Walks 2016
    • Place of Presentation
      Czech Technical University in Prague, Prague, Czech
    • Year and Date
      2016-11-17
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Non-linear Scaling in Cities2016

    • Author(s)
      Kousuke Yakubo
    • Organizer
      International Workshop on Interdisciplinary Applications of Nonlinear Science
    • Place of Presentation
      鹿児島大学(鹿児島市)
    • Year and Date
      2016-11-02
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 量子ウォークにおけるトポロジカル相:物性物理的観点から2016

    • Author(s)
      小布施秀明
    • Organizer
      量子系の数理と物質制御への展開II:量子ウォークを架け橋に
    • Place of Presentation
      横浜国立大学(横浜市)
    • Year and Date
      2016-10-20
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Quantum dynamics associated with topological phases in synthetic quantum systems2016

    • Author(s)
      Hideaki Obuse
    • Organizer
      Okinawa school in physics : Coherent Quantum Dynamics
    • Place of Presentation
      沖縄科学技術大学院大学(沖縄市)
    • Year and Date
      2016-09-27
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 量子ウォークの縁に対する感受性2016

    • Author(s)
      小布施秀明、瀬川悦生
    • Organizer
      日本数学会2016年度秋季総合分科会
    • Place of Presentation
      関西大学(大阪市)
    • Year and Date
      2016-09-16
    • Related Report
      2016 Research-status Report
  • [Presentation] 長距離次数相関を特徴付ける同時確率と条件付き確率の一般的関係2016

    • Author(s)
      藤木結香, 高口太朗, 矢久保考介
    • Organizer
      日本物理学会 2016年秋季大会
    • Place of Presentation
      金沢大学(金沢市)
    • Year and Date
      2016-09-13
    • Related Report
      2016 Research-status Report
  • [Presentation] 自己組織化臨界ダイナミクスによるスケールフリー・ネットワークの形成2016

    • Author(s)
      山根佳大, 水高将吾, 矢久保考介
    • Organizer
      日本物理学会 2016年秋季大会
    • Place of Presentation
      金沢大学(金沢市)
    • Year and Date
      2016-09-13
    • Related Report
      2016 Research-status Report
  • [Presentation] 2次元2自由度量子ウォークにおける量子探索問題2016

    • Author(s)
      清水洋祐, 小布施秀明
    • Organizer
      日本物理学会2016年秋季大会
    • Place of Presentation
      金沢大学(金沢市)
    • Year and Date
      2016-09-13
    • Related Report
      2016 Research-status Report
  • [Presentation] 非ユニタリー量子ウォークにおける不規則性の効果とPT対称性の一般化2016

    • Author(s)
      望月健, 小布施秀明
    • Organizer
      日本物理学会2016年秋季大会
    • Place of Presentation
      金沢大学(金沢市)
    • Year and Date
      2016-09-13
    • Related Report
      2016 Research-status Report
  • [Presentation] Floquet Topological phases of quantum walks and its connection to network models2016

    • Author(s)
      Hideaki Obuse
    • Organizer
      International Workshop Anderson Localization in Topological Insulators
    • Place of Presentation
      IBS Center for Theoretical Physics of Complex Systems, Daejeon, South Korea
    • Year and Date
      2016-09-05
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Cascading Failures by Fluctuating Loads in Complex Networks2016

    • Author(s)
      Kousuke Yakubo
    • Organizer
      The 1st Workshop on Self-Organization and Robustness of Evolving Many-Body Systems
    • Place of Presentation
      ホテル梅はら(神栖市)
    • Year and Date
      2016-08-27
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Floquet topological phases of non-unitary quantum walks with PT symmetry2016

    • Author(s)
      Hideaki Obuse, Ken Mochizuki, Dakyeong Kim, Norio Kawakami
    • Organizer
      PHHQP16: Progress in Quantum Physics with Non-Hermitian Operators
    • Place of Presentation
      京都大学(京都市)
    • Year and Date
      2016-08-08
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] PT symmetry for nonunitary quantum walks and the extension to disordered systems2016

    • Author(s)
      Ken Mochizuki, Hideaki Obuse
    • Organizer
      PHHQP16: Progress in Quantum Physics with Non-Hermitian Operators
    • Place of Presentation
      京都大学(京都市)
    • Year and Date
      2016-08-08
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Cascading Failures by Fluctuating Loads in Scale-free Networks2016

    • Author(s)
      Kousuke Yakubo, Shogo Mizutaka
    • Organizer
      NetSci 2016
    • Place of Presentation
      The K-Hotel, Seoul, Korea
    • Year and Date
      2016-05-30
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Self-organization of Fractal Networks2016

    • Author(s)
      Kousuke Yakubo
    • Organizer
      The 3rd International Workshop on Physics of Social Complexity
    • Place of Presentation
      POSTECH, Pohang, Korea
    • Year and Date
      2016-05-27
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited

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Published: 2016-04-21   Modified: 2020-03-30  

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