On the Spectrum of Markov Semigroups via Sample Path Large Deviations

  • IRINA IGNATIOUK-ROBERT
  • Published 2004

Abstract

The essential spectral radius of a sub-Markovian process is defined as the infimum of the spectral radiuses of all local perturbations of the process. When the family of rescaled processes satisfies sample path large deviation principle, the spectral radius and the essential spectral radius are expressed in terms of the rate function. The paper is motivated… (More)

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