Ergodic theory of the symmetric inclusion process

Kevin Kuoch; Frank Redig

doi:10.1016/j.spa.2016.05.002

Ergodic theory of the symmetric inclusion process

Kevin Kuoch^*, Frank Redig

^*Corresponding author for this work

Applied Probability

Research output: Contribution to journal › Article › Scientific › peer-review

5 Citations (Scopus)

Abstract

We prove the existence of a successful coupling for n particles in the symmetric inclusion process. As a consequence we characterise the ergodic measures with finite moments, and obtain sufficient conditions for a measure to converge in the course of time to an invariant product measure.

Original language	English
Pages (from-to)	3480-3498
Number of pages	19
Journal	Stochastic Processes and their Applications
Volume	126
Issue number	11
DOIs	https://doi.org/10.1016/j.spa.2016.05.002
Publication status	Published - 2016

Keywords

Coupling
Interacting particle systems
Invariant measures
Simple inclusion process

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10.1016/j.spa.2016.05.002

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title = "Ergodic theory of the symmetric inclusion process",

abstract = "We prove the existence of a successful coupling for n particles in the symmetric inclusion process. As a consequence we characterise the ergodic measures with finite moments, and obtain sufficient conditions for a measure to converge in the course of time to an invariant product measure.",

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AU - Kuoch, Kevin

AU - Redig, Frank

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AB - We prove the existence of a successful coupling for n particles in the symmetric inclusion process. As a consequence we characterise the ergodic measures with finite moments, and obtain sufficient conditions for a measure to converge in the course of time to an invariant product measure.

KW - Coupling

KW - Interacting particle systems

KW - Invariant measures

KW - Simple inclusion process

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DO - 10.1016/j.spa.2016.05.002

M3 - Article

AN - SCOPUS:84988650890

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SP - 3480

EP - 3498

JO - Stochastic Processes and their Applications

JF - Stochastic Processes and their Applications

IS - 11

ER -

Ergodic theory of the symmetric inclusion process

Abstract

Keywords

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