22 citations · 143 across the 51 of their papers we have counts for
5 papers · 1 filter
Annealed transition density of simple random walk on a high-dimensional loop-erased random walk
David A. Croydon, Daisuke Shiraishi, Satomi Watanabe
We derive sub-Gaussian bounds for the annealed transition density of the simple random walk on a high-dimensional loop-erased random walk. The walk dimension that appears in these…
Scaling limit of critical percolation clusters on hyperbolic random half-planar triangulations and the associated random walks
Eleanor Archer, David A. Croydon
We show that the Gromov-Hausdorff-Prohorov scaling limit of a critical percolation cluster on a random hyperbolic triangulation of the half-plane is the Brownian continuum random t…
Heat kernel fluctuations for stochastic processes on fractals and random media
Sebastian Andres, David Croydon, Takashi Kumagai
It is well-known that stochastic processes on fractal spaces or in certain random media exhibit anomalous heat kernel behaviour. One manifestation of such irregular behaviour is th…
Heat kernel fluctuations and quantitative homogenization for the one-dimensional Bouchaud trap model
Sebastian Andres, David A. Croydon, Takashi Kumagai
We present on-diagonal heat kernel estimates and quantitative homogenization statements for the one-dimensional Bouchaud trap model. The heat kernel estimates are obtained using st…
Aging and sub-aging for one-dimensional random walks amongst random conductances
David A. Croydon, Daniel Kious, Carlo Scali
We consider random walks amongst random conductances in the cases where the conductances can be arbitrarily small, with a heavy-tailed distribution at 0, and where the conductances…