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Ergodic theory of multi-layer interacting particle systems

Frank Redig, Hidde van Wiechen

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.

Ergodic theory of multi-layer interacting particle systems

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.
Paper Structure (23 sections, 60 equations)

This paper contains 23 sections, 60 equations.

Table of Contents

  1. Introduction
  2. Models and their duality properties
  3. Models: definitions
  4. Duality
  5. Duality results
  6. Proof of duality for the RTP process
  7. Invariant probability measures
  8. Ergodic theory of particle systems with homogeneous factorized duality polynomials
  9. Basic assumptions
  10. Configurations
  11. Factorized duality functions
  12. Tempered probability measures
  13. Assumptions on the dual process
  14. Ergodic probability measures
  15. Successful coupling
  16. ...and 8 more sections