Existence of the zero range process and a deposition model with superlinear growth rates

M. Balázs; F. Rassoul-Agha; T. Seppäläinen; S. Sethuraman

doi:10.1214/009117906000000971

Existence of the zero range process and a deposition model with superlinear growth rates

M. Balázs, F. Rassoul-Agha, T. Seppäläinen, S. Sethuraman

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

17 Scopus citations

Abstract

We give a construction of the zero range and bricklayers' processes in the totally asymmetric, attractive case. The novelty is mat we allow jump rates to grow exponentially. Earlier constructions have permitted at most linearly growing rates. We also show the invariance and extremality of a natural family of i.i.d. product measures indexed by particle density. Extremality is proved with an approach mat is simpler than existing ergodicity proofs.

Original language	English (US)
Pages (from-to)	1201-1249
Number of pages	49
Journal	Annals of Probability
Volume	35
Issue number	4
DOIs	https://doi.org/10.1214/009117906000000971
State	Published - Jul 2007

Keywords

Bricklayer's
Construction of dynamics
Ergodicity of dynamics
Superlinear jump rates
Zero range

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1214/009117906000000971

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AU - Sethuraman, S.

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KW - Construction of dynamics

KW - Ergodicity of dynamics

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Existence of the zero range process and a deposition model with superlinear growth rates

Abstract

Keywords

ASJC Scopus subject areas

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