Transfer Operators and Limit Laws for Typical Cocycles

Kiho Park*, Mark Piraino

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We show that typical cocycles (in the sense of Bonatti and Viana) over irreducible subshifts of finite type obey several limit laws with respect to the unique equilibrium states for Hölder potentials. These include the central limit theorem and the large deviation principle. We also establish the analytic dependence of the top Lyapunov exponent on the underlying equilibrium state. The transfer operator and its spectral properties play key roles in establishing these limit laws.

Original languageEnglish (US)
Pages (from-to)1475-1523
Number of pages49
JournalCommunications in Mathematical Physics
Volume389
Issue number3
DOIs
StatePublished - Feb 2022
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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