Monotonicity of escape probabilities for branching random walks on Zd

Autor:	Achillefs Tzioufas
Rok vydání:	2020
Předmět:	Statistics and Probability 010102 general mathematics Boundary (topology) Monotonic function Random walk 01 natural sciences Combinatorics Branching (linguistics) 010104 statistics & probability Point (geometry) Hypercube 0101 mathematics Statistics Probability and Uncertainty Mathematics
Zdroj:	Statistics & Probability Letters. 167:108900
ISSN:	0167-7152
DOI:	10.1016/j.spl.2020.108900
Popis:	We study nearest-neighbors branching random walks started from a point at the interior of a hypercube. We show that the probability that the process escapes the hypercube is monotonically decreasing with respect to the distance of its starting point from the boundary. We derive as a consequence that at all times the number of particles at a site is monotonically decreasing with respect to its distance from the starting point.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::add90f9beb89b63302d44e999dc1fcfb https://doi.org/10.1016/j.spl.2020.108900 Zobrazit plný text záznamu Full Text from ScienceDirect