Transfer Operators and Limit Laws for Typical Cocycles
نویسندگان
چکیده
We show that typical cocycles (in the sense of Bonatti and Viana) over irreducible subshifts finite type obey several limit laws with respect to unique equilibrium states for Hölder potentials. These include central theorem large deviation principle. also establish analytic dependence top Lyapunov exponent on underlying state. The transfer operator its spectral properties play key roles in establishing these laws.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2022
ISSN: ['0010-3616', '1432-0916']
DOI: https://doi.org/10.1007/s00220-021-04300-x