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Number of items: 23.
2018
Croydon, D. A. (2018) Scaling limits of stochastic processes associated with resistance forms. Annales de l'Institut Henri PoincarΓ©, ProbabilitΓ©s et Statistiques, 54 (4). pp. 1939-1968. doi:10.1214/17-AIHP861 ISSN 0246-0203.
2017
Croydon, David A. and Muirhead, Stephen (2017) Quenched localisation in the Bouchaud trap model with slowly varying traps. Probability Theory and Related Fields, 168 (1-2). pp. 269-315. doi:10.1007/s00440-016-0710-8 ISSN 0178-8051.
Charmoy, Philippe H. A., Croydon, David A. and Hambly, Ben M. (2017) Central limit theorems for the spectra of classes of random fractals. Transactions of the American Mathematical Society, 369 . 8967-9013 . doi:10.1090/tran/7147 ISSN 0002-9947.
Barlow, Martin T., Croydon, David A. and Kumagai, Takashi (2017) Subsequential scaling limits of simple random walk on the two-dimensional uniform spanning tree. Annals of Probability, 45 (1). pp. 4-55. doi:10.1214/15-AOP1030 ISSN 0091-1798.
2016
Croydon, David A. and Muirhead, Stephen (2016) Quenched localisation in the Bouchaud trap model with regularly varying traps. In: Stochastic Analysis on Large Scale Interacting Systems (SALSIS), Kyoto University, 26-29 Oct 2015. Published in: RIMS Kokyuroku Bessatsu, B59 pp. 305-320. ISSN 1881-6193.
2015
Chen, Zhen-Qing, Croydon, David A. and Kumagai, Takashi (2015) Quenched invariance principles for random walks and elliptic diffusions in random media with boundary. The Annals of Probability, 43 (4). pp. 1594-1642. doi:10.1214/14-AOP914 ISSN 0091-1798.
Croydon, David A. and Muirhead, Stephen (2015) Functional limit theorems for the Bouchaud trap model with slowly-varying traps. Stochastic Processes and their Applications, 125 (5). pp. 1980-2009. doi:10.1016/j.spa.2014.12.004 ISSN 0304-4149.
Croydon, David A. (2015) Moduli of continuity of local times of random walks on graphs in terms of the resistance metric. Transactions of the London Mathematical Society, Volume 2 (Number 1). pp. 57-79. doi:10.1112/tlms/tlv003 ISSN 2052-4986.
2013
Croydon, David A. (2013) Slow movement of a random walk on the range of a random walk in the presence of an external field. Probability Theory and Related Fields, Volume 157 (Number 3-4). pp. 515-534. doi:10.1007/s00440-012-0463-y ISSN 0178-8051.
Croydon, David A., Fribergh, A. and Kumagai, T. (Takashi) (2013) Biased random walk on critical GaltonβWatson trees conditioned to survive. Probability Theory and Related Fields, Volume 157 (Number 1-2). pp. 453-507. doi:10.1007/s00440-012-0462-z ISSN 0178-8051.
2012
Croydon, David A., Hambly, Ben M. and Kumagai, Takashi (2012) Convergence of mixing times for sequences of random walks on finite graphs. Electronic Journal of Probability, Vol.17 . article no.3. doi:10.1214/EJP.v17-1705 ISSN 1083-6489.
Croydon, David A. (2012) Scaling limit for the random walk on the largest connected component of the critical random graph. Research Institute for Mathematical Sciences. Publications, Vol.48 (No.2). pp. 279-338. doi:10.2977/PRIMS/70 ISSN 1663-4926.
2010
Croydon, David A. and Hambly, Ben M. (2010) Spectral asymptotics for stable trees. Electronic Journal of Probability, Vol.15 (No.57). pp. 1772-1801. ISSN 1083-6489.
Croydon, David A. (2010) Scaling limits for simple random walks on random ordered graph trees. Advances in Applied Probability, Vol.42 (No.2). pp. 528-558. doi:10.1239/aap/1275055241 ISSN 0001-8678.
2009
Croydon, David A. (2009) Random walk on the range of random walk. Journal of Statistical Physics, Vol.136 (No.2). pp. 349-372. doi:10.1007/s10955-009-9785-2 ISSN 0022-4715.
Croydon, David A. (2009) Hausdorff measure of arcs and Brownian motion on Brownian spatial trees. Annals of Probability, Vol.37 (No.3). pp. 946-978. doi:10.1214/08-AOP425 ISSN 0091-1798.
2008
Croydon, David A. (2008) Convergence of simple random walks on random discrete trees to Brownian motion on the continuum random tree. Annales de l'Institut Henri PoincarΓ© (B). Probabilites et Statistiques, Vol.44 (No.6). pp. 987-1019. doi:10.1214/07-AIHP153 ISSN 0246-0203.
Croydon, David A. and Hambly, Ben M. (2008) Local limit theorems for sequences of simple random walks on graphs. Potential Analysis, Vol.29 (No.4). pp. 351-389. doi:10.1007/s11118-008-9101-9 ISSN 0926-2601.
Croydon, David A. and Kumagai, Takashi (2008) Random walks on Galton-Watson trees with infinite variance offspring distribution conditioned to survive. Electronic Journal of Probability, Vol.13 . pp. 1419-1441. ISSN 1083-6489.
Croydon, David A. and Hambly, Ben M. (2008) Self-similarity and spectral asymptotics for the continuum random tree. Stochastic Processes and their Applications, Vol.118 (No.5). pp. 730-754. doi:10.1016/j.spa.2007.06.005 ISSN 0304-4149.
Croydon, David A. (2008) Volume growth and heat kernel estimates for the continuum random tree. Probability Theory and Related Fields, Vol.140 (No.1-2). pp. 207-238. doi:10.1007/s00440-007-0063-4 ISSN 0178-8051.
2007
Croydon, David A. (2007) The Hausdorff dimension of a class of random self-similar fractal trees. Advances in Applied Probability, Vol.39 (No.3). pp. 708-730. doi:10.1239/aap/1189518635 ISSN 0001-8678.
Croydon, David A. (2007) Heat kernel fluctuations for a resistance form with non-uniform volume growth. Proceedings of the London Mathematical Society, Vol.94 (No.3). pp. 672-694. doi:10.1112/plms/pdl025 ISSN 0024-6107.
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