Zero-range processes with rapidly growing rates

DOI10.1214/21-EJP670zbMath1481.60200arXiv2004.12410OpenAlexW3197972674MaRDI QIDQ2243908

Inés Armendáriz, Enrique Daniel Andjel, Milton D. Jara

Publication date: 11 November 2021

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

Full work available at URL: https://arxiv.org/abs/2004.12410

zbMATH Keywords

martingalesinvariant measureszero-range processconstruction of dynamicssuperlinear rates

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Cites Work

• Large deviations techniques and applications.
• Tutorial on large deviations for the binomial distribution
• Invariant measures for the zero range process
• Interaction of Markov processes
• Additive set-valued Markov processes and graphical methods
• Existence of the zero range process and a deposition model with superlinear growth rates
• A class of interactions in an infinite particle system
• An infinite particle system with zero range interactions
• Ergodic theorems for coupled random walks and other systems with locally interacting components