论文标题
转移操作员和限制典型共生法律的法律
Transfer operators and limit laws for typical cocycles
论文作者
论文摘要
我们表明，有限类型的不可还原的子迁移对霍尔德电位的独特平衡状态遵守了几个限制定律，典型的共生（在Bonatti和Viana的意义上）。这些包括中心极限定理和大偏差原理。我们还建立了顶部Lyapunov指数对潜在平衡状态的分析依赖性。转移操作员及其光谱属性在建立这些极限定律中起着关键作用。
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.
