First passage percolation in hostile environment is not monotone-Reference-Cited by-同舟云学术

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First passage percolation in hostile environment is not monotone

Published:2024-01-01 Issue:none Volume:29 Page:
ISSN:1083-6489
Container-title:Electronic Journal of Probability
language:
Short-container-title:Electron. J. Probab.

Author:

Candellero Elisabetta¹,Stauffer Alexandre²

Affiliation:

1. Università Roma Tre, Dipartimento di Matematica e Fisica, Largo S. Murialdo 1, 00146, Rome, Italy

2. University of Bath, Dept of Mathematical Sciences, BA2 7AY Bath, UK & Università Roma Tre, Dipartimento di Matematica e Fisica, Largo S. Murialdo 1, 00146, Rome, Italy

Publisher

Institute of Mathematical Statistics

Reference17 articles.

1. Thomas M. Liggett, Stochastic interacting systems: contact, voter and exclusion processes, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 324, Springer-Verlag, Berlin, 1999.

2. Olle Häggström and Robin Pemantle, First passage percolation and a model for competing spatial growth, Journal of Applied Probability 35 (1998), no. 3, 683–692.

3. Krishna B. Athreya and Peter E. Ney, Branching processes, Springer-Verlag, New York-Heidelberg, 1972, Die Grundlehren der mathematischen Wissenschaften, Band 196.

4. Russell Lyons and Yuval Peres, Probability on trees and networks, Cambridge Series in Statistical and Probabilistic Mathematics, vol. 42, Cambridge University Press, New York, 2016.

5. Louigi Addario-Berry and Bruce Reed, Minima in branching random walks, Ann. Probab. 37 (2009), no. 3, 1044–1079.

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