Local limit theorems for sequences of simple random walks on graphs DA Croydon, BM Hambly Potential Analysis 29, 351-389, 2008 | 47 | 2008 |
Subsequential scaling limits of simple random walk on the two-dimensional uniform spanning tree MT Barlow, DA Croydon, T Kumagai | 43 | 2017 |
Scaling limits of stochastic processes associated with resistance forms DA Croydon | 42 | 2018 |
Random walks on Galton-Watson trees with infinite variance offspring distribution conditioned to survive D Croydon, T Kumagai | 41 | 2008 |
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 | 40 | 2008 |
Volume growth and heat kernel estimates for the continuum random tree DA Croydon Probability Theory and Related Fields 140 (1), 207-238, 2008 | 35 | 2008 |
Time-changes of stochastic processes associated with resistance forms D Croydon, B Hambly, T Kumagai | 34 | 2017 |
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 | 28* | 2018 |
Self-similarity and spectral asymptotics for the continuum random tree D Croydon, B Hambly Stochastic processes and their applications 118 (5), 730-754, 2008 | 28 | 2008 |
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 | 27 | 2012 |
Quenched invariance principles for random walks and elliptic diffusions in random media with boundary ZQ Chen, DA Croydon, T Kumagai | 26 | 2015 |
Scaling limits for simple random walks on random ordered graph trees DA Croydon Advances in Applied Probability 42 (2), 528-558, 2010 | 25 | 2010 |
Scaling limits of the three-dimensional uniform spanning tree and associated random walk O Angel, DA Croydon, S Hernandez-Torres, D Shiraishi The Annals of Probability 49 (6), 3032-3105, 2021 | 22 | 2021 |
Hausdorff measure of arcs and Brownian motion on Brownian spatial trees DA Croydon | 21 | 2009 |
Biased random walk on critical Galton–Watson trees conditioned to survive DA Croydon, A Fribergh, T Kumagai Probability Theory and Related Fields 157, 453-507, 2013 | 20 | 2013 |
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 | 20 | 2012 |
Generalized hydrodynamic limit for the box–ball system DA Croydon, M Sasada Communications in Mathematical Physics 383, 427-463, 2021 | 18 | 2021 |
Random walk on the range of random walk DA Croydon Journal of Statistical Physics 136, 349-372, 2009 | 18 | 2009 |
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 | 18 | 2007 |
Spectral asymptotics for stable trees D Croydon, B Hambly Electronic Journal of Probability 15, 1772-1801, 2010 | 15 | 2010 |