[HTML][HTML] Heat kernel fluctuations and quantitative homogenization for the one-dimensional Bouchaud trap model
S Andres, DA Croydon, T Kumagai - Stochastic Processes and their …, 2024 - Elsevier
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 …
for the one-dimensional Bouchaud trap model. The heat kernel estimates are obtained using …
Heat kernel estimates and intrinsic metric for random walks with general speed measure under degenerate conductances
S Andres, JD Deuschel, M Slowik - 2019 - projecteuclid.org
We establish heat kernel upper bounds for a continuous-time random walk under
unbounded conductances satisfying an integrability assumption, where we correct and …
unbounded conductances satisfying an integrability assumption, where we correct and …
Quenched tail estimate for the random walk in random scenery and in random layered conductance II
JD Deuschel, R Fukushima - 2020 - projecteuclid.org
This is a continuation of our earlier work [Stochastic Processes and their Applications, 129
(1), pp. 102–128, 2019] on the random walk in random scenery and in random layered …
(1), pp. 102–128, 2019] on the random walk in random scenery and in random layered …
Compound Poisson approximation for simple transient random walks in random sceneries
N Chenavier, A Darwiche, A Rousselle - arXiv preprint arXiv:2212.09395, 2022 - arxiv.org
Given a simple transient random walk $(S_n) _ {n\geq 0} $ in $\mathbf {Z} $ and a stationary
sequence of real random variables $(\xi (s)) _ {s\in\mathbf {Z}} $, we investigate the …
sequence of real random variables $(\xi (s)) _ {s\in\mathbf {Z}} $, we investigate the …