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Random walks on random graphs in critical regimes

Research Project

Project/Area Number 18H05832
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeSingle-year Grants
Review Section 0201:Algebra, geometry, analysis, applied mathematics,and related fields
Research InstitutionKyoto University

Principal Investigator

Croydon David  京都大学, 情報学研究科, 特定准教授 (50824182)

Project Period (FY) 2018-08-24 – 2020-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2018: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywordsrandom walks / random graphs / fractals / random walk / uniform spanning tree / percolation / scaling limit / fractal
Outline of Annual Research Achievements

On a visit to the University of Melbourne, I completed an article 'Biased random walk on the trace of biased random walk on the trace of...' with Mark Holmes, which has been submitted. I have also made progress on several ongoing projects, including: together with Daisuke Shiraishi (Kyoto), Omer Angel (UBC), and Sarai Hernandez Torres (UBC), I have work on the random walk on the 3-dimensional uniform spanning tree - we expect to complete this in FY2019, following a visit to UBC in September; I also hope to complete there a project that has been ongoing this year with Martin Barlow (UBC) and Takashi Kumagai (Kyoto University) on the two-dimensional model.

Research Progress Status

平成30年度が最終年度であるため、記入しない。

Strategy for Future Research Activity

平成30年度が最終年度であるため、記入しない。

Report

(1 results)
  • 2018 Annual Research Report
  • Research Products

    (5 results)

All 2018

All Presentation (5 results) (of which Invited: 5 results)

  • [Presentation] Biased random walk on the trace of biased random walk2018

    • Author(s)
      David Croydon
    • Organizer
      Japanese Probability Symposium, Kyoto University
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Scaling limits of stochastic processes associated with resistance forms2018

    • Author(s)
      David Croydon
    • Organizer
      Stochastics 6, Bad Herranalb, Germany
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Scaling limits of stochastic processes associated with resistance forms2018

    • Author(s)
      David Croydon
    • Organizer
      NYU Shanghai - Kyoto University Young Probabilists meeting
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Random walks on fractals and critical random graphs2018

    • Author(s)
      David Croydon
    • Organizer
      9th International Conference on Stochastic Analysis and its Applications
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Scaling limits and heat kernel estimates for stochastic processes associated with resistance forms2018

    • Author(s)
      David Croydon
    • Organizer
      2nd Kyoto-Hong Kong workshop on fractal geometry and related areas
    • Related Report
      2018 Annual Research Report
    • Invited

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Published: 2018-08-27   Modified: 2019-12-27  

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