D. Croydon

activity

20072026

most citedQuenched invariance principles for random walks and elliptic diffusions in random media with boundary

22 citations · 143 across the 51 of their papers we have counts for

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Showing 2024Show all

3 papers · 1 filter

math.PR2024

Triple collisions on a comb graph

David A. Croydon, Umberto De Ambroggio

In this article, we consider the number of collisions of three independent simple random walks on a subgraph of the two-dimensional square lattice obtained by removing all horizont…

math.PR2024

Scaling limit for the cover time of the $λ$ -biased random walk on a binary tree with $λ < 1$

David A. Croydon

The $λ$ -biased random walk on a binary tree of depth $n$ is the continuous-time Markov chain that has unit mean holding times and, when at a vertex other than the root or a leaf of…

math.PR2024

On the cover time of Brownian motion on the Brownian continuum random tree

George Andriopoulos, David A. Croydon, Vlad Margarint +1

Upon almost-every realisation of the Brownian continuum random tree (CRT), it is possible to define a canonical diffusion process or `Brownian motion'. The main result of this arti…

Triple collisions on a comb graph

Scaling limit for the cover time of the λ-biased random walk on a binary tree with λ<1

On the cover time of Brownian motion on the Brownian continuum random tree

Scaling limit for the cover time of the $λ$ -biased random walk on a binary tree with $λ < 1$