THE CONVERGENCE OF THE BIASED ANNIHILATING BRANCHING-PROCESS AND THE DOUBLE-FLIPPING PROCESS IN Z(D)

Authors
SUDBURY A
Citation
A. Sudbury, THE CONVERGENCE OF THE BIASED ANNIHILATING BRANCHING-PROCESS AND THE DOUBLE-FLIPPING PROCESS IN Z(D), Stochastic processes and their applications, 68(2), 1997, pp. 255-264
Citations number
7
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Stochastic processes and their applications → ACNP
ISSN journal
03044149
Volume
68
Issue
2
Year of publication
1997
Pages
255 - 264
Database
ISI
SICI code
0304-4149(1997)68:2<255:TCOTBA>2.0.ZU;2-I
Abstract
It is shown that, if the initial measure is translation-invariant, the n finite-range stochastic Ising models allowing zero flip-rates conver ge. In particular, the biased annihilating process converges to a mixt ure of a product measure and delta(phi) and the double-flipping proces s converges to a product measure. The method of relative entropy is em ployed.