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 language||English (US)|
|Number of pages||49|
|Journal||Communications in Mathematical Physics|
|State||Published - Feb 2022|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics