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math.PRMar 1, 2022
7
citations (OpenAlex)
authors
  • Frank Redig
  • Hidde van Wiechen
institutions
  • Delft University of Technology
arXiv abstractPDF
paper

Ergodic theory of multi-layer interacting particle systems

arXiv:2203.12462 · doi:10.1007/s10955-023-03099-2

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.

arXiv comment18 pages

References in corpus (9)

  • Steady state, relaxation and first-passage properties of a run-and-tumble particle in one-dimension
  • Run-and-tumble particle in one-dimensional confining potential: Steady state, relaxation and first passage properties
  • Duality and hidden symmetries in interacting particle systems
  • Exact Hydrodynamic Description of Active Lattice Gases
  • Duality for stochastic models of transport
  • Non-crossing run-and-tumble particles on a line
  • Diffusion properties of active particles with directional reversal
  • Switching interacting particle systems: scaling limits, uphill diffusion and boundary layer
  • Run-and-tumble motion: the role of reversibility

Cited by in corpus (2)

  • Uphill in reaction-diffusion multi-species interacting particles systems
  • Invariant measures for multilane exclusion process
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