An improved upper bound for the critical value of the contact process on \(\mathbb{Z}^d\) with \(d \geq 3\)

DOI10.1214/18-ECP177zbMath1401.60180arXiv1802.02394OpenAlexW2963848685MaRDI QIDQ1990046

Xiaofeng Xue

Publication date: 24 October 2018

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.02394

zbMATH Keywords

linear systemupper boundcritical valuecontact process

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (3)

A stochastic comparison result for the multitype contact process with unequal death rates ⋮ Hydrodynamics of a class of \(N\)-urn linear systems ⋮ Hydrodynamics of the weakly asymmetric normalized binary contact path process

Cites Work

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• The binary contact path process
• Contact interactions on a lattice
• Ordinary differential equations in Banach spaces
• Improved upper bounds for the contact process critical value
• Generalized potlatch and smoothing processes
• Extended Watson integrals for the cubic lattices
• On the Number of Self-Avoiding Walks. II

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