典型上循环的转移算子和极限律
Transfer operators and limit laws for typical cocycles
摘要：
我们证明了有限型不可约子移位上的典型上循环（Bonatti和Viana意义下）关于Hölder势的唯一平衡态服从几个极限定律.其中包括中心极限定理和大偏差原理。我们还建立了解析依赖的最高李雅普诺夫指数的基本平衡态。转移算子及其谱性质在建立这些极限定律中起着关键作用。
英文摘要：
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.
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