研究キーワード (4件):
discrete integrable systems
, fractals
, random walk
, probability theory
競争的資金等の研究課題 (8件):
2024 - 2028 Stochastic processes in random environments with inhomogeneous scaling limits
2022 - 2027 フラクタルおよびその上の確率過程における解析学・幾何学とその相互関係の研究
2022 - 2027 複雑な系の上の確率過程と確率解析の展開
2019 - 2024 Pitman変換に基づく確率論による離散可積分系の解析
2019 - 2023 Stochastic processes associated with resistance forms
2019 - 2022 ランダム媒質中の確率過程の研究
2017 - 2022 複雑な系の上の異常拡散現象の解析
2018 - 2020 Random walks on random graphs in critical regimes
全件表示
論文 (52件):
David A. Croydon, Ryoki Fukushima, Stefan Junk. Anomalous scaling regime for one-dimensional Mott variable-range hopping. The Annals of Applied Probability. 2023. 33. 5
Sebastian Andres, David Croydon, Takashi Kumagai. Heat Kernel Fluctuations for Stochastic Processes on Fractals and Random Media. Applied and Numerical Harmonic Analysis. 2023. 265-281
David Croydon, Tsuyoshi Kato, Makiko Sasada, Satoshi Tsujimoto. Dynamics of the Box-Ball System with Random Initial Conditions via Pitman’s Transformation. Memoirs of the American Mathematical Society. 2023. 283. 1398
D. A. Croydon, D. Shiraishi. Scaling limit for random walk on the range of random walk in four dimensions. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques. 2023. 59. 1
D. A. Croydon, R. Fukushima, S. Junk. Extremal regime for one-dimensional Mott variable-range hopping. 2023