| 研究課題/領域番号 |
19K03540
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| 研究機関 | 京都大学 |
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研究代表者 |
Croydon David 京都大学, 数理解析研究所, 准教授 (50824182)
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| 研究期間 (年度) |
2019-04-01 – 2024-03-31
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| キーワード | Mott hopping / Extremal process / Random walk / Localization / Random environment |
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| 研究実績の概要 |
My main research achievement this year was the completion of a paper "Extremal regime for one-dimensional Mott variable-range hopping", jointly with Ryoki Fukushima and Stefan Junk. After the two-year period of limited research travel due to covid, I also restarted academic travels, making an extended trip to the the UK to work with Ben Hambly. I gave numerous research presentations around the UK, as well as ones in Germany and Mexico. The trip was a good chance to initiate collaborative projects.
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| 現在までの達成度 (区分) |
現在までの達成度 (区分)
2: おおむね順調に進展している
理由
Generally the project has progressed as expected, and indeed, I have maybe more ongoing collaborations than I might have initially expected. Due to the limited research travel during the last two years, I have some remaining money left on the grant, which I have extended into a further year.
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| 今後の研究の推進方策 |
I have a number of ongoing collaborations relating to scaling limits, heat kernel estimates, aging, cover times and spectral properties of random walks in random environments, some of which I hope to be able to complete in the current academic year. I will use the remaining grant money to visit collaborators.
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| 次年度使用額が生じた理由 |
Principally the amount remaining stems from the limited travels I undertook during covid. I plan to use it to visit collaborators, and attend a major international conference.
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