Universität zu Köln

Gracar, P. and Stauffer, A. (2019). Random walks in random conductances: Decoupling and spread of infection. Stoch. Process. Their Appl., 129 (9). S. 3547 - 3570. AMSTERDAM: ELSEVIER. ISSN 1879-209X

Full text not available from this repository.

Abstract

Let (G, mu) be a uniformly elliptic random conductance graph on Z(d) with a Poisson point process of particles at time t = 0 that perform independent simple random walks. We show that inside a cube Q(K) of side length K, if all subcubes of side length l < K inside Q(K) have sufficiently many particles, the particles return to stationarity after cl(2) time with a probability close to 1. We show that in this setup, an infection spreads with positive speed in any direction. Our framework is robust enough to allow us to also extend the result to infection with recovery. (C) 2018 Elsevier B.V. All rights reserved.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Gracar, P. UNSPECIFIED UNSPECIFIED UNSPECIFIED Stauffer, A. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-143473
DOI:	10.1016/j.spa.2018.09.016
Journal or Publication Title:	Stoch. Process. Their Appl.
Volume:	129
Number:	9
Page Range:	S. 3547 - 3570
Date:	2019
Publisher:	ELSEVIER
Place of Publication:	AMSTERDAM
ISSN:	1879-209X
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language PARABOLIC HARNACK INEQUALITY; PERCOLATION; THEOREM; GRAPHS Multiple languages Statistics & Probability Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/14347