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 journalArticlepeer-review

21 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 languageEnglish (US)
Pages (from-to)1201-1249
Number of pages49
JournalAnnals of Probability
Volume35
Issue number4
DOIs
StatePublished - 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

Fingerprint Dive into the research topics of 'Existence of the zero range process and a deposition model with superlinear growth rates'. Together they form a unique fingerprint.

Cite this