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Journal of Statistical Physics

, Volume 129, Issue 1, pp 121–149 | Cite as

Spectral Analysis of a Stochastic Ising Model in Continuum

  • Yu. KondratievEmail author
  • E. Zhizhina
Article

Abstract

We consider an equilibrium stochastic dynamics of spatial spin systems in ℝ d involving both a birth-and-death dynamics and a spin flip dynamics as well. Using a general approach to the spectral analysis of corresponding Markov generator, we estimate the spectral gap and construct one-particle invariant subspaces for the generator.

Keywords

Birth-and-death process Continuous system Gibbs measure Glauber dynamics Continuous Ising model 

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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Dept. of Mathematics and BiBoSBielefeld UniversityBielefeldGermany
  2. 2.NaUKMAKievUkraine
  3. 3.IITP, Russian Acad. Sci.MoscowRussia

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