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

• 成果类型: Article
• 署名作者: Balazs, M.; Rassoul-Agha, F.; Seppaelaeinen, T.; Sethuraman, S.
• 署名单位: Budapest University of Technology & Economics; University of Wisconsin System; University of Wisconsin Madison; Utah System of Higher Education; University of Utah; Iowa State University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/009117906000000971
• 发表日期: 2007
• 页码: 1201-1249
• 关键词: shocks

摘要

We give a construction of the zero range and bricklayers' processes in the totally asymmetric, attractive case. The novelty is that 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 that is simpler than existing ergodicity proofs.