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Basic reseach for designing functional fractal objects: Structure control and dynamics

Research Project

Project/Area Number 25390113
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field General applied physics
Research InstitutionHokkaido University

Principal Investigator

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

Co-Investigator(Kenkyū-buntansha) OBUSE Hideaki  北海道大学, 大学院工学研究院, 助教 (50415121)
Project Period (FY) 2013-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywordsフラクタル / 自己組織化 / 臨界現象 / 複雑ネットワーク / スモールワールド
Outline of Final Research Achievements

Studying various fractal systems to understand structure formation mechanisms and dynamics in a unified manner, we have obtained the following results. (1) Based on the fact that an order parameter at criticality is distributed with the generalized Gumbel distribution function, the distribution of the fractal dimension characterizing spatial profile of the local order parameter near the critical point generally obeys a triple exponential function, (2) the distribution of the fractal dimension of coastline formed by a self-organized critical (SOC) dynamics obeys the triple exponential function, (3) scale-free networks are robust against cascading failures by temporally fluctuating loads, (4) an SOC model to explain the spontaneous formation of fractal complex networks has been constructed.

Report

(4 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (54 results)

All 2016 2015 2014 2013 Other

All Int'l Joint Research (1 results) Journal Article (10 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 10 results,  Acknowledgement Compliant: 5 results,  Open Access: 1 results) Presentation (43 results) (of which Int'l Joint Research: 3 results,  Invited: 9 results)

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

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Fractal and Small-World Networks Formed by Self-Organized Critical Dynamics2015

    • Author(s)
      A. Watanabe, S. Mizutaka and K. Yakubo
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 84 Issue: 11 Pages: 114003-114003

    • DOI

      10.7566/jpsj.84.114003

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Robustness of scale-free networks to cascading failures induced by fluctuating loads2015

    • Author(s)
      S. Mizutaka and K. Yakubo
    • Journal Title

      Physical Review E

      Volume: 92 Issue: 1

    • DOI

      10.1103/physreve.92.012814

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Unveiling hidden topological phases of a one-dimensional Hadamard quantum walk2015

    • Author(s)
      H. Obuse, J. K. Asboth, Y. Nishimura, N. Kawakami
    • Journal Title

      Physical Review B

      Volume: 92 Issue: 4

    • DOI

      10.1103/physrevb.92.045424

    • NAID

      120005674644

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Superlinear and sublinear urban scaling in geographical networks modeling cities2014

    • Author(s)
      Kousuke Yakubo, Yushi Saijo, Dean Korosak
    • Journal Title

      Physical Review E

      Volume: 90 Issue: 2

    • DOI

      10.1103/physreve.90.022803

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Catalytic reaction dynamics in inhomogeneous networks2014

    • Author(s)
      Akitomo Watanabe, Kousuke Yakubo
    • Journal Title

      Physical Review E

      Volume: 89 Issue: 5

    • DOI

      10.1103/physreve.89.052806

    • NAID

      120005476079

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Spin-directed network model for the surface states of weak three-dimensional Z2 topological insulators2014

    • Author(s)
      Hideaki Obuse, Shinsei Ryu, Akira Furusaki, and Christopher Mudry
    • Journal Title

      Physical Review B

      Volume: 89 Issue: 15 Pages: 155315-155315

    • DOI

      10.1103/physrevb.89.155315

    • NAID

      120005463902

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] Spin-directed network model for the surface states of weak three-dimensional Z_2 topological insulators2014

    • Author(s)
      Hideaki Obuse, Shinsei Ryu, Akira Furusaki, Christopher Mudry
    • Journal Title

      Physical Review B

      Volume: 89

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Structural robustness of scale-free networks against overload failures2013

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

      Physical Review E

      Volume: 88 Issue: 1

    • DOI

      10.1103/physreve.88.012803

    • NAID

      120005316986

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Bulk-Boundary Correspondence for Chiral Symmetric Quantum Walks2013

    • Author(s)
      Janos K. Asboth, Hideaki Obuse
    • Journal Title

      Physical Review B (Rapid Communications)

      Volume: 88 Issue: 12

    • DOI

      10.1103/physrevb.88.121406

    • NAID

      120005342542

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Statistics of Conductances and Subleading Corrections to Scaling near the Integer Quantum Hall Plateau Transition2013

    • Author(s)
      Hideaki Obuse, Soumya Bera, Andreas W. W. Ludwig, Ilya A. Gruzberg, Ferdinand Evers
    • Journal Title

      Europhsics Letters

      Volume: 104 Issue: 2 Pages: 27014-27014

    • DOI

      10.1209/0295-5075/104/27014

    • NAID

      120005476168

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] 複雑ネットワークにおける隣接ノード次数間のスピアマン相関係数2016

    • Author(s)
      矢久保考介, 藤木結香, 水高将吾
    • Organizer
      日本物理学会 第71回年次大会
    • Place of Presentation
      東北学院大学(仙台市)
    • Year and Date
      2016-03-19
    • Related Report
      2015 Annual Research Report
  • [Presentation] (u,v)-flowerにおける隣接次数相関と長距離次数相関2016

    • Author(s)
      藤木結香, 矢久保考介
    • Organizer
      日本物理学会 第71回年次大会
    • Place of Presentation
      東北学院大学(仙台市)
    • Year and Date
      2016-03-19
    • Related Report
      2015 Annual Research Report
  • [Presentation] 1次元単一欠陥付きHadamard量子ウォークの局在化とトポロジカル相2016

    • Author(s)
      小布施秀明
    • Organizer
      日本物理学会 第71回年次大会
    • Place of Presentation
      東北学院大学(仙台市)
    • Year and Date
      2016-03-19
    • Related Report
      2015 Annual Research Report
  • [Presentation] 複雑ネットワークにおけるパーコレーション転移2016

    • Author(s)
      矢久保考介
    • Organizer
      クロスボーダー・シンポジウム
    • Place of Presentation
      旭川医科大学(旭川市)
    • Year and Date
      2016-01-11
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Topological phases of a PT symmetric non-unitary quantum walk2016

    • Author(s)
      Hideaki Obuse
    • Organizer
      Mathematical Association of America (MAA) and American Mathematical Society (AMS) Joint Mathematics Meetings
    • Place of Presentation
      Washington State Convention Center, Seattle, USA
    • Year and Date
      2016-01-06
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Floquet Topological Phases of Quantum Walks2015

    • Author(s)
      小布施秀明
    • Organizer
      第1回「トポロジーが紡ぐ物質科学のフロンティア」領域研究会
    • Place of Presentation
      京都大学(京都市)
    • Year and Date
      2015-12-11
    • Related Report
      2015 Annual Research Report
  • [Presentation] Topological phases of one-dimensional Hadamard walks and non-unitary quantum walks2015

    • Author(s)
      Hideaki Obuse
    • Organizer
      Workshop of Quantum Simulation and Quantum Walks 2015
    • Place of Presentation
      横浜国立大学(横浜市)
    • Year and Date
      2015-11-16
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Topological phases and enhancement of edge states in PT symmetric quantum walks with gain and loss2015

    • Author(s)
      Ken Mochizuki, Dakyeong Kim, Hideaki Obuse
    • Organizer
      Workshop of Quantum Simulation and Quantum Walks 2015
    • Place of Presentation
      横浜国立大学(横浜市)
    • Year and Date
      2015-11-16
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 総負荷揺らぎを伴う過負荷故障の確率と局所負荷揺らぎのスケーリング則2015

    • Author(s)
      水高将吾, 矢久保考介
    • Organizer
      日本物理学会 2015年秋季大会
    • Place of Presentation
      関西大学(吹田市)
    • Year and Date
      2015-09-16
    • Related Report
      2015 Annual Research Report
  • [Presentation] 非ユニタリー量子ウォークにおけるPT対称性とトポロジカル相2015

    • Author(s)
      金多景, 望月健, 小布施秀明
    • Organizer
      日本物理学会 2015年秋季大会
    • Place of Presentation
      関西大学(吹田市)
    • Year and Date
      2015-09-16
    • Related Report
      2015 Annual Research Report
  • [Presentation] 境界のある非ユニタリー量子ウォークにおけるPT対称性とエッジ状態の増幅2015

    • Author(s)
      望月健, 金多景, 小布施秀明
    • Organizer
      日本物理学会 2015年秋季大会
    • Place of Presentation
      関西大学(吹田市)
    • Year and Date
      2015-09-16
    • Related Report
      2015 Annual Research Report
  • [Presentation] 2相系量子ウォークの漸近的振舞とトポロジカル絶縁体の数理2015

    • Author(s)
      遠藤隆子, 今野紀雄, 小布施秀明
    • Organizer
      日本物理学会 2015年秋季大会
    • Place of Presentation
      関西大学(吹田市)
    • Year and Date
      2015-09-16
    • Related Report
      2015 Annual Research Report
  • [Presentation] 量子ウォークとトポロジカル絶縁体の邂逅2015

    • Author(s)
      小布施秀明
    • Organizer
      日本数学会 2015 年度秋季総合分科会
    • Place of Presentation
      京都産業大学(京都市)
    • Year and Date
      2015-09-13
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] 都市指標の相対成長率と偏差分布:都市個性揺らぎによる影響2015

    • Author(s)
      西城勇志,矢久保考介
    • Organizer
      日本物理学会 2015年次大会
    • Place of Presentation
      早稲田大学,東京都
    • Year and Date
      2015-03-21 – 2015-03-24
    • Related Report
      2014 Research-status Report
  • [Presentation] 自己組織化臨界的に形成されるネットワークのスモールワールド性とフラクタル性2015

    • Author(s)
      渡邉章友,矢久保考介
    • Organizer
      日本物理学会 2015年次大会
    • Place of Presentation
      早稲田大学,東京都
    • Year and Date
      2015-03-21 – 2015-03-24
    • Related Report
      2014 Research-status Report
  • [Presentation] 負荷揺らぎに基づく故障カスケードとネットワークの頑強性2015

    • Author(s)
      水高将吾,矢久保考介
    • Organizer
      日本物理学会 2015年次大会
    • Place of Presentation
      早稲田大学,東京都
    • Year and Date
      2015-03-21 – 2015-03-24
    • Related Report
      2014 Research-status Report
  • [Presentation] 1次元フォトニック量子ウォークにおける隠れたトポロジカル相の解明2015

    • Author(s)
      小布施秀明,Janos K. Asboth,西村勇希,川上則雄
    • Organizer
      日本物理学会 2015年次大会
    • Place of Presentation
      早稲田大学,東京都
    • Year and Date
      2015-03-21 – 2015-03-24
    • Related Report
      2014 Research-status Report
  • [Presentation] ネットワーク科学から見た感染症の流行と防疫2015

    • Author(s)
      矢久保考介
    • Organizer
      第12回創成シンポジウム「感染症研究の最前線:エボラ・結核を例に」
    • Place of Presentation
      北海道大学,北海道
    • Year and Date
      2015-02-24
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] A Network Model for Urban Scaling2015

    • Author(s)
      Kousuke Yakubo
    • Organizer
      Cities as Organisms Scaling and Networks in Urban, Social, and Biological Systems
    • Place of Presentation
      University of Maribor (Maribor, Slovenia)
    • Year and Date
      2015-02-19 – 2015-02-20
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 都市スケーリングと地理的ネットワーク2014

    • Author(s)
      矢久保考介
    • Organizer
      高等研プロジェクト「ネットワークの科学」第2回研究集会
    • Place of Presentation
      国際高等研究所,京都府
    • Year and Date
      2014-12-25 – 2014-12-26
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 量子ウォークにおけるトポロジカルな局在状態の制御2014

    • Author(s)
      小布施秀明
    • Organizer
      量子系の数理と物質制御への展開:量子ウォークを架け橋に
    • Place of Presentation
      東北大学, 宮城県
    • Year and Date
      2014-09-17 – 2014-09-18
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 都市スケーリングとその偏差:地理的ネットワークによるモデル化2014

    • Author(s)
      西城勇志,矢久保考介
    • Organizer
      日本物理学会 2014年秋季大会
    • Place of Presentation
      中部大学,愛知県
    • Year and Date
      2014-09-07 – 2014-09-10
    • Related Report
      2014 Research-status Report
  • [Presentation] 複雑ネットワークのサイズと構造安定性:過負荷故障モデルからのアプローチ2014

    • Author(s)
      水高将吾,渡邉章友,矢久保考介
    • Organizer
      日本物理学会 2014年秋季大会
    • Place of Presentation
      中部大学,愛知県
    • Year and Date
      2014-09-07 – 2014-09-10
    • Related Report
      2014 Research-status Report
  • [Presentation] 自己組織化臨界性に基づく複雑ネットワークの構造形成2014

    • Author(s)
      渡邉章友,水高将吾,矢久保考介
    • Organizer
      日本物理学会 2014年秋季大会
    • Place of Presentation
      中部大学,愛知県
    • Year and Date
      2014-09-07 – 2014-09-10
    • Related Report
      2014 Research-status Report
  • [Presentation] 弱い3次元トポロジカル絶縁体の表面状態:奇数チャネル及び、trimerizationの寄与2014

    • Author(s)
      小布施秀明,笠真生,古崎昭,Christopher Mudry
    • Organizer
      日本物理学会 2014年秋季大会
    • Place of Presentation
      中部大学,愛知県
    • Year and Date
      2014-09-07 – 2014-09-10
    • Related Report
      2014 Research-status Report
  • [Presentation] Finite-size effects and irrelevant corrections to scaling near the integer quantum hall transition2014

    • Author(s)
      Hideaki Obuse
    • Organizer
      Recent Progress and Perspectives in Scaling, Multifractality, Interactions, and Topological Effects Near Anderson Transitions
    • Place of Presentation
      Max Planck Institute for the Physics of Complex Systems (Dresden, Germany)
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 過負荷によるカスケード故障の臨界的振舞い2014

    • Author(s)
      水高将吾,矢久保考介
    • Organizer
      日本物理学会 第69回年次大会
    • Place of Presentation
      東海大学, 神奈川県
    • Related Report
      2013 Research-status Report
  • [Presentation] 低次数領域における次数分布変化とスケールフリー・ネットワークの頑強性2014

    • Author(s)
      小畠佑介,矢久保考介
    • Organizer
      日本物理学会 第69回年次大会
    • Place of Presentation
      東海大学, 神奈川県
    • Related Report
      2013 Research-status Report
  • [Presentation] 弱い3次元トポロジカル絶縁体の表面状態における局在 非局在転移2014

    • Author(s)
      小布施秀明,笠真生,古崎昭,Christopher Mudry
    • Organizer
      日本物理学会 第69回年次大会
    • Place of Presentation
      東海大学, 神奈川県
    • Related Report
      2013 Research-status Report
  • [Presentation] A Network Model for Urban Scaling2013

    • Author(s)
      Kousuke Yakubo
    • Organizer
      International Workshop on Phase Transition, Critical Phenomena and Related Topics in Complex Network
    • Place of Presentation
      北海道大学 学術交流会館、北海道
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Network robustness to overload failures2013

    • Author(s)
      Shogo Mizutaka, Kousuke Yakubo
    • Organizer
      International Workshop on Phase Transition, Critical Phenomena and Related Topics in Complex Network
    • Place of Presentation
      北海道大学 学術交流会館、北海道
    • Related Report
      2013 Research-status Report
  • [Presentation] Self-organized criticality in catalytic reaction networks2013

    • Author(s)
      Akitomo Watanabe, Kousuke Yakubo
    • Organizer
      International Workshop on Phase Transition, Critical Phenomena and Related Topics in Complex Network
    • Place of Presentation
      北海道大学 学術交流会館、北海道
    • Related Report
      2013 Research-status Report
  • [Presentation] Geographical Network Model for Urban Scaling2013

    • Author(s)
      Kousuke Yakubo, Yushi Saijo
    • Organizer
      XXV IUPAP International Conference on Statistical Physics (Statphys 25)
    • Place of Presentation
      ソウル大学校(ソウル, 韓国)
    • Related Report
      2013 Research-status Report
  • [Presentation] Percolation on Scale-free Networks by Overload Failures2013

    • Author(s)
      Shogo Mizutaka, Kousuke Yakubo
    • Organizer
      XXV IUPAP International Conference on Statistical Physics (Statphys 25)
    • Place of Presentation
      ソウル大学校(ソウル, 韓国)
    • Related Report
      2013 Research-status Report
  • [Presentation] Self-organized criticality in inhomogeneous catalytic reaction networks2013

    • Author(s)
      Akitomo Watanabe, Kousuke Yakubo
    • Organizer
      XXV IUPAP International Conference on Statistical Physics (Statphys 25)
    • Place of Presentation
      ソウル大学校(ソウル, 韓国)
    • Related Report
      2013 Research-status Report
  • [Presentation] Overload Network Failures: An Approach from the Random-Walk Model2013

    • Author(s)
      Shogo Mizutaka, Kousuke Yakubo
    • Organizer
      Second Workshop on Complex Networks and their Applications
    • Place of Presentation
      京都テルサ、京都
    • Related Report
      2013 Research-status Report
  • [Presentation] Topological phases and delocalization of quantum walks in random environments2013

    • Author(s)
      Hideaki Obuse
    • Organizer
      Advances in Quantum Chaotic Scattering: From (Non-)Linear Waves to Few-Body Systems
    • Place of Presentation
      Max Planck Institute for the Physics of Complex Systems (Dresden, Germany)
    • Related Report
      2013 Research-status Report
  • [Presentation] Anderson transition at three-dimensional weak Z2 topological insulators2013

    • Author(s)
      Hideaki Obuse
    • Organizer
      Topology and Nonequilibrium in Low-Dimensional Electronic Systems
    • Place of Presentation
      Max Planck Institute for the Physics of Complex Systems (Dresden, Germany)
    • Related Report
      2013 Research-status Report
  • [Presentation] 地理的ネットワークに基づく都市スケーリングの統一的理解2013

    • Author(s)
      矢久保考介,西城勇志
    • Organizer
      日本物理学会 2013年秋季大会
    • Place of Presentation
      徳島大学, 徳島県
    • Related Report
      2013 Research-status Report
  • [Presentation] ランダムウォーク・モデルに基づく過負荷故障カスケードの定式化とネットワークの頑強性2013

    • Author(s)
      水高将吾,矢久保考介
    • Organizer
      日本物理学会 2013年秋季大会
    • Place of Presentation
      徳島大学, 徳島県
    • Related Report
      2013 Research-status Report
  • [Presentation] 触媒反応ネットワークにおけるSOCと反応回数推移の非マルコフ性2013

    • Author(s)
      渡邉章友,矢久保考介
    • Organizer
      日本物理学会 2013年秋季大会
    • Place of Presentation
      徳島大学, 徳島県
    • Related Report
      2013 Research-status Report
  • [Presentation] 多重ステップ量子ウォークのカイラル対称性とバルク境界対応2013

    • Author(s)
      小布施秀明,Janos K. Asboth
    • Organizer
      日本物理学会 2013年秋季大会
    • Place of Presentation
      徳島大学, 徳島県
    • Related Report
      2013 Research-status Report
  • [Presentation] 単一ステップ量子ウォークにおけるマヨラナ・ゼロモード2013

    • Author(s)
      西村勇希,小布施秀明,川上則雄
    • Organizer
      日本物理学会 2013年秋季大会
    • Place of Presentation
      徳島大学, 徳島県
    • Related Report
      2013 Research-status Report

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Published: 2014-07-25   Modified: 2019-07-29  

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