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Transfer Operators and Limit Laws for Typical Cocycles by Park, Kiho; Piraino, Mark is a scholarly article available to read on EtoBox.

What is Transfer Operators and Limit Laws for Typical Cocycles about?

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 H\"older 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.

Author

Park, Kiho; Piraino, Mark

Published

2020

Language

EN