Ergodic theory of multi-layer interacting particle systems
Frank Redig, Hidde van Wiechen
TL;DR
This paper studies multi-layer interacting particle systems, characterizing their ergodic measures with finite moments using duality and coupling techniques, advancing understanding of their long-term behavior.
Contribution
It introduces a novel approach combining duality and coupling to analyze ergodic measures in multi-layer particle systems.
Findings
Characterization of ergodic measures with finite moments.
Application of duality and coupling methods.
Enhanced understanding of system long-term behavior.
Abstract
We consider a class of multi-layer interacting particle systems and characterize the set of ergodic measures with finite moments. The main technical tool is duality combined with successful coupling.
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Taxonomy
TopicsStochastic processes and statistical mechanics · Theoretical and Computational Physics · Markov Chains and Monte Carlo Methods