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Scattering of Quasi-Particle Excitations in Weakly Coupled Stochastic Lattice Spin Systems |
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| Authors: | D.A.?Yarotsky mailto:yarotsky@mail.ru" title=" yarotsky@mail.ru" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
| Affiliation: | (1) Institute for Information Transmission Problems, Laboratory 4, B. Karetny 19, 127994 Moscow, Russia |
| 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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