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math.DSMay 19, 2017
9
citations (OpenAlex)
authors
  • Charles-Edouard Pfister
  • Wayne Sullivan
institutions
  • Central Statistics Office
  • École Polytechnique Fédérale de Lausanne
arXiv abstractPDF
paper

Weak Gibbs measures and large deviations

arXiv:1705.06939 · doi:10.1088/1361-6544/aa99a3

Abstract

Let (X,T) be a dynamical system, where X is a compact metric space and T a continuous onto map. For weak Gibbs measures we prove large deviations estimates.

5 pages

References in corpus (3)

  • Large deviations for systems with non-uniform structure
  • Multifractal analysis for weak Gibbs measures: from large deviations to irregular sets
  • Criteria for the density of the graph of the entropy map restricted to ergodic states

Cited by in corpus (4)

  • Additive, almost additive and asymptotically additive potential sequences are equivalent
  • On entropy production of repeated quantum measurements II. Examples
  • Large Deviations and Fluctuation Theorem for Selectively Decoupled Measures on Shift Spaces
  • Large deviations of return times and related entropy estimators on shift spaces
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