The convergence of the biased annihilating branching process and the double-flipping process in d

Aidan Sudbury

Stochastic Processes and their Applications, 1997, vol. 68, issue 2, 255-264

Abstract: It is shown that, if the initial measure is translation-invariant, then finite-range stochastic Ising models allowing zero flip-rates converge. In particular, the biased annihilating process converges to a mixture of a product measure and [delta]ø and the double-flipping process converges to a product measure. The method of relative entropy is employed.

Keywords: Interacting; particle; systems; Relative; entropy (search for similar items in EconPapers)
Date: 1997
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