David Croydon
David Croydon
Research Institute for Mathematical Sciences, Kyoto University
Verified email at warwick.ac.uk - Homepage
Title
Cited by
Cited by
Year
Convergence of simple random walks on random discrete trees to Brownian motion on the continuum random tree
D Croydon
Annales de l'IHP Probabilités et statistiques 44 (6), 987-1019, 2008
352008
Local limit theorems for sequences of simple random walks on graphs
DA Croydon, BM Hambly
Potential Analysis 29 (4), 351-389, 2008
332008
Random walks on Galton-Watson trees with infinite variance offspring distribution conditioned to survive
D Croydon, T Kumagai
Electronic Journal of Probability 13, 1419-1441, 2008
312008
Volume growth and heat kernel estimates for the continuum random tree
DA Croydon
Probability theory and related fields 140 (1-2), 207-238, 2008
272008
Self-similarity and spectral asymptotics for the continuum random tree
D Croydon, B Hambly
Stochastic processes and their applications 118 (5), 730-754, 2008
222008
Subsequential scaling limits of simple random walk on the two-dimensional uniform spanning tree
MT Barlow, DA Croydon, T Kumagai
Annals of Probability 45 (1), 4-55, 2017
212017
Scaling limits for simple random walks on random ordered graph trees
DA Croydon
Advances in Applied Probability 42 (2), 528-558, 2010
212010
Biased random walk on critical Galton–Watson trees conditioned to survive
DA Croydon, A Fribergh, T Kumagai
Probability Theory and Related Fields 157 (1-2), 453-507, 2013
192013
Quenched invariance principles for random walks and elliptic diffusions in random media with boundary
ZQ Chen, DA Croydon, T Kumagai
Annals of Probability 43 (4), 1594-1642, 2015
172015
Convergence of mixing times for sequences of random walks on finite graphs
D Croydon, B Hambly, T Kumagai
Electronic Journal of Probability 17, paper no. 3, 2012
172012
Time-changes of stochastic processes associated with resistance forms
D Croydon, B Hambly, T Kumagai
Electronic Journal of Probability 22, 2017
162017
Scaling limit for the random walk on the largest connected component of the critical random graph
DA Croydon
Publications of the Research Institute for Mathematical Sciences 48 (2), 279-338, 2012
162012
Scaling limits of stochastic processes associated with resistance forms
DA Croydon
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 54 (4 …, 2018
152018
Spectral asymptotics for stable trees
D Croydon, B Hambly
Electronic Journal of Probability 15, 1772-1801, 2010
142010
Random walk on the range of random walk
DA Croydon
Journal of Statistical Physics 136 (2), 349-372, 2009
132009
Hausdorff measure of arcs and Brownian motion on Brownian spatial trees
DA Croydon
The Annals of Probability 37 (3), 946-978, 2009
132009
Heat kernel fluctuations for a resistance form with non‐uniform volume growth
DA Croydon
Proceedings of the London Mathematical Society 94 (3), 672-694, 2007
132007
Dynamics of the box-ball system with random initial conditions via Pitman's transformation
DA Croydon, T Kato, M Sasada, S Tsujimoto
arXiv preprint arXiv:1806.02147, 2018
122018
Moduli of continuity of local times of random walks on graphs in terms of the resistance metric
DA Croydon
Transactions of the London Mathematical Society 2 (1), 57-79, 2015
102015
Random fractal dendrites
DDA Croydon
University of Oxford, 2006
92006
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