ERGODICITY OF SPITZER RENEWAL MODEL

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:55

Article

关键词: MULTIDIMENSIONAL RENEWAL PROCESS;    ERGODICITY;    ATTRACTIVENESS;    ABSENCE OF PHASE TRANSITION;   

DOI  :  10.1016/0304-4149(94)00029-S

来源: Elsevier

【 摘 要 】

Answering a question raised in Andjel and Vares (1992), we prove the ergodicity of the infinite-dimensional renewal process whose coordinates are indexed by Z(d) and whose failure rate at any given site is the average of the ages of its neighbors plus a positive constant c, for any d greater than or equal to 1, c > 0. The main point is to prove the convergence of zero boundary Gibbs measures as the volume tends to Z(d). This also yields uniqueness of Gibbs measures.

【 授权许可】

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