David Croydon

Profile Information

Affiliation: Associate Professor, Research Institute for Mathematical Sciences, Kyoto University

Degree: DPhil(University of Oxford)
MMath(University of Cambridge)

Contact information: croydonkurims.kyoto-u.ac.jp
Researcher number: 50824182
J-GLOBAL ID: 201501001880666935
researchmap Member ID: 7000013558

External link: http://www.kurims.kyoto-u.ac.jp/~croydon/

Research Interests

Research Areas

Natural sciences / Mathematical analysis /

Research History

Apr, 2019 - Present

(Associate Professor), Research Institute for Mathematical Sciences, Kyoto University
Apr, 2018 - Mar, 2019

Associate Professor, Department of Advanced Mathematical Sciences, Graduate School of Informatics, Kyoto University
Jun, 2017 - Mar, 2018

Reader, Department of Statistics, University of Warwick
Sep, 2012 - May, 2017

Associate Professor, Department of Statistics, University of Warwick
Sep, 2008 - Aug, 2012

Assistant Professor, Department of Statistics, University of Warwick
Sep, 2006 - Aug, 2008

Postdoctoral Research Fellow, Department of Statistics, University of Warwick

Papers

Anomalous scaling regime for one-dimensional Mott variable-range hopping

David A. Croydon, Ryoki Fukushima, Stefan Junk

The Annals of Applied Probability, 33(5), Oct 1, 2023 Peer-reviewed
Heat Kernel Fluctuations for Stochastic Processes on Fractals and Random Media

Sebastian Andres, David Croydon, Takashi Kumagai

Applied and Numerical Harmonic Analysis, 265-281, Jun 26, 2023 Peer-reviewedInvited
Dynamics of the Box-Ball System with Random Initial Conditions via Pitman’s Transformation

David Croydon, Tsuyoshi Kato, Makiko Sasada, Satoshi Tsujimoto

Memoirs of the American Mathematical Society, 283(1398), Mar, 2023 Peer-reviewed
Scaling limit for random walk on the range of random walk in four dimensions

D. A. Croydon, D. Shiraishi

Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 59(1), Feb 1, 2023 Peer-reviewed
Extremal regime for one-dimensional Mott variable-range hopping

D. A. Croydon, R. Fukushima, S. Junk

2023
Aging and sub-aging for one-dimensional random walks amongst random conductances

D. A. Croydon, D. Kious, C. Scali

2023
Heat kernel fluctuations and quantitative homogenization for the one-dimensional Bouchaud trap model

S. Andres, D. A. Croydon, T. Kumagai

2023
Scaling limit of critical percolation clusters on hyperbolic random half-planar triangulations and the associated random walks

D. A. Croydon, E. Archer

2023
Annealed transition density of simple random walk on a high-dimensional loop-erased random walk

D. A. Croydon, D. Shiraishi, S. Watanabe

2023
Correction to: Exact value of the resistance exponent for four dimensional random walk trace

D. A. Croydon, D. Shiraishi

Probability Theory and Related Fields, 185(1-2) 699-704, Nov 5, 2022 Peer-reviewed
Bi-infinite Solutions for KdV- and Toda-Type Discrete Integrable Systems Based on Path Encodings

David A. Croydon, Makiko Sasada, Satoshi Tsujimoto

Mathematical Physics, Analysis and Geometry, 25(4), Oct 22, 2022 Peer-reviewed
On the Stationary Solutions of Random Polymer Models and Their Zero-Temperature Limits

David A. Croydon, Makiko Sasada

Journal of Statistical Physics, 188(3), Jun 25, 2022 Peer-reviewed
Biased random walk on supercritical percolation: anomalous fluctuations in the ballistic regime

Adam M. Bowditch, David A. Croydon

Electronic Journal of Probability, 27(none) 1-22, Jan 1, 2022 Peer-reviewed
Spectral dimension of simple random walk on a long-range percolation cluster

V. H. Can, D. A. Croydon, T. Kumagai

Electronic Journal of Probability, 27(none) 1-37, Jan 1, 2022 Peer-reviewed
Quenched and averaged tails of the heat kernel of the two-dimensional uniform spanning tree

M. T. Barlow, D. A. Croydon, T. Kumagai

Probability Theory and Related Fields, 181(1-3) 57-111, Nov, 2021 Peer-reviewed
Scaling limits of the three-dimensional uniform spanning tree and associated random walk

O. Angel, D. A. Croydon, S. Hernandez-Torres, D. Shiraishi

The Annals of Probability, 49(6) 3032-3105, Nov 1, 2021 Peer-reviewed
Generalized Hydrodynamic Limit for the Box–Ball System

David A. Croydon, Makiko Sasada

Communications in Mathematical Physics, 383(1) 427-463, Apr, 2021 Peer-reviewed
The number of spanning clusters of the uniform spanning tree in three dimensions

Omer Angel, David A. Croydon, Sarai Hernandez-Torres, Daisuke Shiraishi

Proceeding of "The 12th Mathematical Society of Japan, Seasonal Institute (MSJ-SI) Stochastic Analysis, Random Fields and Integrable Probability.", 87 403-414, Jan, 2021 Peer-reviewedInvited
The Random Conductance Model with Heavy Tails on Nested Fractal Graphs

David A. Croydon

Fractal Geometry and Stochastics VI, 239-254, 2021 Peer-reviewed
Discrete integrable systems and Pitman's transformation

David A. Croydon, Makiko Sasada

Proceeding of "The 12th Mathematical Society of Japan, Seasonal Institute (MSJ-SI) Stochastic Analysis, Random Fields and Integrable Probability.", 87 381-402, Jan, 2021 Peer-reviewedInvited

Research Projects

Stochastic Processes and Stochastic Analysis on Disordered Media

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A), Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, Apr, 2022 - Mar, 2027
Analysis, geometry and their interplays on fractals and stochastic processes on them

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2022 - Mar, 2027
Analysis of discrete Integrable systems by probability theory based on Pitman's transformation

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2019 - Mar, 2024
Stochastic processes associated with resistance forms

科学研究費助成事業基盤研究(C), 基盤研究(C), 日本学術振興会, Apr, 2019 - Mar, 2023

Croydon David
Research on stochastic processes in random media

Grants-in-Aid for Scientific Research Grant-in-Aid for JSPS Fellows, Grant-in-Aid for JSPS Fellows, Japan Society for the Promotion of Science, Nov, 2019 - Mar, 2022
Anomalous diffusions on disordered media

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A), Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, Apr, 2017 - Mar, 2022
Random walks on random graphs in critical regimes

科学研究費助成事業研究活動スタート支援, 研究活動スタート支援, 日本学術振興会, Aug, 2018 - Mar, 2020

Croydon David

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