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Monotonicity and condensation in homogeneous stochastic particle systems

Abstract:

We study stochastic particle systems that conserve the particle density and exhibit a condensation transition due to particle interactions. We restrict our analysis to spatially homogeneous systems on finite lattices with stationary product measures, which includes previously studied zero-range or misanthrope processes. All known examples of such condensing processes are non-monotone, i.e. the dynamics do not preserve a partial ordering of the state space and the canonical measures (with a fi...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted manuscript

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Publisher copy:
10.1214/17-AIHP821

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Department:
Oxford, MPLS, Statistics
Role:
Author
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Funding agency for:
Chleboun, P
Publisher:
Institute of Mathematical Statistics Publisher's website
Journal:
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques Journal website
Volume:
54
Issue:
2
Pages:
790-818
Publication date:
2018-04-25
Acceptance date:
2017-02-06
DOI:
ISSN:
1424-0661
Pubs id:
pubs:680485
URN:
uri:76d22084-15f4-4693-9233-a94d5c33bab9
UUID:
uuid:76d22084-15f4-4693-9233-a94d5c33bab9
Local pid:
pubs:680485

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