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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.

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  1. Institute for Information Transmission Problems, Laboratory 4, B. Karetny 19, 127994, Moscow, Russia

    D.A. Yarotsky

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  1. D.A. Yarotsky
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Correspondence to D.A. Yarotsky.

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Communicated by H. Spohn

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Yarotsky, D. Scattering of Quasi-Particle Excitations in Weakly Coupled Stochastic Lattice Spin Systems. Commun. Math. Phys. 249, 449–474 (2004). https://doi.org/10.1007/s00220-004-1136-1

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  • DOI: https://doi.org/10.1007/s00220-004-1136-1

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