Hydrodynamics of a class of \(N\)-urn linear systems

DOI10.1016/j.spa.2022.11.007zbMath1502.60163arXiv2201.10099OpenAlexW4309102343MaRDI QIDQ2680391

Xiaofeng Xue

Publication date: 2 January 2023

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.10099

zbMATH Keywords

hydrodynamic limitnon-equilibrium fluctuation\(N\)-urn linear system

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Cites Work

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• The binary contact path process
• Hydrodynamics of the voter model
• Proofs of the martingale FCLT
• Generalized Ornstein-Uhlenbeck processes and infinite particle branching Brownian motions
• An improved upper bound for the critical value of the contact process on \(\mathbb{Z}^d\) with \(d \geq 3\)
• Non-equilibrium fluctuations of the weakly asymmetric normalized binary contact path process
• Hydrodynamics of the weakly asymmetric normalized binary contact path process
• Hydrodynamics of the generalized \(N\)-urn Ehrenfest model

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