The speed of the tagged particle in the exclusion process on Galton-Watson trees

DOI10.1214/20-EJP477zbMath1456.60255arXiv1903.05019OpenAlexW2922098218MaRDI QIDQ782817

Dominik Schmid, Nina Gantert

Publication date: 29 July 2020

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

Full work available at URL: https://arxiv.org/abs/1903.05019

zbMATH Keywords

ergodicityexclusion processGalton-Watson treestagged particle

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (7)

No cutoff in spherically symmetric trees ⋮ Interacting stochastic processes on sparse random graphs ⋮ Moderate deviations for the current and tagged particle in symmetric simple exclusion processes ⋮ Tensor approximation of the self-diffusion matrix of tagged particle processes ⋮ Unnamed Item ⋮ Physical mechanism of equiprobable exclusion network with heterogeneous interactions in phase transitions: analytical analyses of steady state evolving from initial state ⋮ The TASEP on Galton-Watson trees

Cites Work

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• Speed of the biased random walk on a Galton-Watson tree
• Random walks on Galton-Watson trees with random conductances
• Asymptotic behavior of a tagged particle in the exclusion process on parallel lattices
• Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
• Central limit theorems for infinite series of queues and applications to simple exclusion
• Interaction of Markov processes
• Extremal reversible measures for the exclusion process
• Limit theorems for the tagged particle in exclusion processes on regular trees
• A limit theorem for the position of a tagged particle in a simple exclusion process
• Biased random walks on Galton-Watson trees
• Invariance principle for the random conductance model with unbounded conductances
• Processes on unimodular random networks
• One dimensional nearest neighbor exclusion processes in inhomogeneous and random environ\-ments
• Probability on Trees and Networks
• RANDOM ELECTRICAL NETWORKS ON COMPLETE GRAPHS
• Ergodic theory on Galton—Watson trees: speed of random walk and dimension of harmonic measure
• Fluctuations in Markov Processes
• Ergodic Theory

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