论文标题
物理样措施的统计特性
Statistical properties of physical-like measures
论文作者
论文摘要
在本文中，我们考虑了具有主导分裂的差异性的物理样措施的半持续性。我们证明，沿$ C^1 $ diffemormormormings $ \ {f_n \} $沿$ C^1 $ diffemormormormings的任何弱 - *限制必须是限制地图$ f $的gibbs $ f $ - 状态。结果，我们建立了三维洛伦兹吸引子的时间地图的$ c^1 $扰动的统计稳定性，以及Bonatti和Viana构建的差异性的物理措施的连续性。
In this paper we consider the semi-continuity of the physical-like measures for diffeomorphisms with dominated splittings. We prove that any weak-* limit of physical-like measures along a sequence of $C^1$ diffeomorphisms $\{f_n\}$ must be a Gibbs $F$-state for the limiting map $f$. As a consequence, we establish the statistical stability for the $C^1$ perturbation of the time-one map of three-dimensional Lorenz attractors, and the continuity of the physical measure for the diffeomorphisms constructed by Bonatti and Viana.
