Scattering of quasi-particle excitations in weakly coupled stochastic lattice spin systems

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Abstract

We study spectral properties of a system of weakly coupled stochastic evolutions placed at sites of a lattice. Under general assumptions we prove a simple criterion for the presence of spectral gaps and develop a scattering theory of quasi-particle excitations.

Original languageEnglish
Pages (from-to)449-474
Number of pages26
JournalCommunications in Mathematical Physics
Volume249
Issue number3
DOIs
Publication statusPublished - Aug 2004
Externally publishedYes

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