ERGODICITY OF SPITZER RENEWAL MODEL

作者：SIDOR**ICIUS V^*; VARES ME

来源：Stochastic Processes and Their Applications, 1995, 55(1): 119-130.

DOI：10.1016/0304-4149(94)00029-S

• MULTIDIMENSIONAL RENEWAL PROCESS
• ERGODICITY
• ATTRACTIVENESS
• ABSENCE OF PHASE TRANSITION

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.

• 出版日期1995-1