1991年4月
UPPER-BOUNDS FOR SURVIVAL PROBABILITY OF THE CONTACT PROCESS
JOURNAL OF STATISTICAL PHYSICS
- ,
- 巻
- 63
- 号
- 1-2
- 開始ページ
- 115
- 終了ページ
- 130
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1007/BF01026595
- 出版者・発行元
- PLENUM PUBL CORP
A precise description of the nontrivial upper invariant measure for lambda > lambda-c is still an open problem for the basic contact process, which is a self-dual, attractive, but nonreversible Markov process of an interacting particle system. By its self-duality, to identify the invariant measure is equivalent to determining the initial-state dependence of the survival probability of the process. A procedure to give rigorous upper bounds for the survival probability is presented based on a lemma given by Harris. Two new bounds are given, improving the simple branching-process bound. In the one-dimensional case, the present procedure can be viewed as a trial to make approximate measures by generalized Markov extensions.
- リンク情報
- ID情報
-
- DOI : 10.1007/BF01026595
- ISSN : 0022-4715
- Web of Science ID : WOS:A1991FM52300007