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December, 1978 Controlled Spin-Flip Systems
Lawrence Gray
Ann. Probab. 6(6): 953-974 (December, 1978). DOI: 10.1214/aop/1176995386

Abstract

We introduce a new tool into the study of spin-flip processes, which we call controlled spin-flip systems. For each spin-flip process we define a related class of controlled spin-flip systems. Our main theorem states that bounds on the behavior of a spin-flip process can be obtained by studying the behavior of the related controlled spin-flip system. Since controlled spin-flip systems are in general easier to work with than regular spin-flip processes (they correspond to finite state space Markov processes), our main theorem has applications to some of the important problems concerning spin-flip processes. In particular, we discuss several applications to the uniqueness problem. These include proofs of some new results, as well as new proofs of earlier results.

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Lawrence Gray. "Controlled Spin-Flip Systems." Ann. Probab. 6 (6) 953 - 974, December, 1978. https://doi.org/10.1214/aop/1176995386

Information

Published: December, 1978
First available in Project Euclid: 19 April 2007

zbMATH: 0392.60084
MathSciNet: MR512413
Digital Object Identifier: 10.1214/aop/1176995386

Subjects:
Primary: 60K35

Rights: Copyright © 1978 Institute of Mathematical Statistics

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Vol.6 • No. 6 • December, 1978
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