# The Library

### Browse by Warwick Author

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**22**.## 2017

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
.
ISSN 0002-9947
(In Press)

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.
ISSN 0091-1798

## 2016

Croydon, David A. and Muirhead, Stephen.
(2016)
*Quenched localisation in the Bouchaud trap model with regularly varying traps.*
RIMS Kokyuroku Bessatsu
.
ISSN 1881-6193
(In Press)

Croydon, David A. and Muirhead, Stephen.
(2016)
*Quenched localisation in the Bouchaud trap model with slowly varying traps.*
Probability Theory and Related Fields
.
ISSN 0178-8051
(In Press)

## 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.
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.
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.
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.
ISSN 0178-8051

Croydon, David A., Fribergh, A. and Kumagai, T. (Takashi).
(2013)
*Biased random walk on critical Galtonâ€“Watson trees conditioned to survive.*
Probability Theory and Related Fields, Volume 157
(Number 1-2).
pp. 453-507.
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.
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.
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.
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.
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.
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 PoincarĂ© (B). Probabilites et Statistiques, Vol.44
(No.6).
pp. 987-1019.
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.
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.
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.
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.
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.
ISSN 0024-6107

This list was generated on

**Thu Sep 21 14:26:08 2017 BST**.