| Project/Area Number |
18H05832
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Review Section |
0201:Algebra, geometry, analysis, applied mathematics,and related fields
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| Research Institution | Kyoto University |
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Principal Investigator |
Croydon David 京都大学, 情報学研究科, 特定准教授 (50824182)
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| Project Period (FY) |
2018-08-24 – 2020-03-31
|
| Project Status |
Completed (Fiscal Year 2018)
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| 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)
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| Keywords | random walks / random graphs / fractals / random walk / uniform spanning tree / percolation / scaling limit / fractal |
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| 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.
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| Research Progress Status |
平成30年度が最終年度であるため、記入しない。
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| 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。
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