Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Slowik, Martin"'
Autor:
Andres, Sebastian, Slowik, Martin
We study continuous time random walks on $\mathbb{Z}^d$ (with $d \geq 2$) among random conductances $\{ \omega(\{x,y\}) : x,y \in \mathbb{Z}^d\}$ that permit jumps of arbitrary length. The law of the random variables $\omega(\{x,y\})$, taking values
Externí odkaz:
http://arxiv.org/abs/2311.07472
In this paper we consider a time-continuous random walk in $\mathbb{Z}^d$ in a dynamical random environment with symmetric jump rates to nearest neighbours. We assume that these random conductances are stationary and ergodic and, moreover, that they
Externí odkaz:
http://arxiv.org/abs/2309.09675
We introduce a general class of mean-field-like spin systems with random couplings that comprises both the Ising model on inhomogeneous dense random graphs and the randomly diluted Hopfield model. We are interested in quantitative estimates of metast
Externí odkaz:
http://arxiv.org/abs/2209.09827
The goal of this article is to contribute towards the conceptual and quantitative understanding of the evolutionary benefits for (microbial) populations to maintain a seed bank (consisting of dormant individuals) when facing fluctuating environmental
Externí odkaz:
http://arxiv.org/abs/2007.06393
Publikováno v:
Probab. Theory Related Fields 179 (2021), no. 3-4, 1145-1181
We establish a quenched local central limit theorem for the dynamic random conductance model on $\mathbb{Z}^d$ only assuming ergodicity with respect to space-time shifts and a moment condition. As a key analytic ingredient we show H\"older continuity
Externí odkaz:
http://arxiv.org/abs/2001.10740
Publikováno v:
Electron. Commun. Probab., Volume 25 (2020), paper no. 58, 14 pp
We consider random walks among random conductances on $\mathbb{Z}^2$ and establish precise asymptotics for the associated potential kernel and the Green's function of the walk killed upon exiting balls. The result is proven for random walks on i.i.d.
Externí odkaz:
http://arxiv.org/abs/1808.08126
We establish heat kernel upper bounds for a continuous-time random walk under unbounded conductances satisfying an integrability assumption, where we correct and extend recent results by the authors to a general class of speed measures. The resulting
Externí odkaz:
http://arxiv.org/abs/1711.11119
Autor:
Schlichting, André, Slowik, Martin
Publikováno v:
Ann. Appl. Probab. 29 (2019), no. 6, 3438--3488
We investigate the metastable behavior of reversible Markov chains on possibly countable infinite state spaces. Based on a new definition of metastable Markov processes, we compute precisely the mean transition time between metastable sets. Under add
Externí odkaz:
http://arxiv.org/abs/1705.05135
We study homogenization properties of the discrete Laplace operator with random conductances on a large domain in $\mathbb{Z}^d$. More precisely, we prove almost-sure homogenization of the discrete Poisson equation and of the top of the Dirichlet spe
Externí odkaz:
http://arxiv.org/abs/1702.02860