论文标题
热力学$ u $ - 形式主义I：最大$ u $ -U $ entropy的量度
Thermodynamical $u$-formalism I: measures of maximal $u$-entropy for maps that factor over Anosov
论文作者
论文摘要
我们为任何部分双曲线异常构建了最大$ u $ entropy的测量，这些差异是在Anosov曲折自动形态上取代的，并且主要具有收缩的中心方向。此类度量的空间具有有限的维度，其极端点是具有成对分离支持的奇异措施。
We construct measures of maximal $u$-entropy for any partially hyperbolic diffeomorphism that factors over an Anosov torus automorphism and has mostly contracting center direction. The space of such measures has a finite dimension, and its extreme points are ergodic measures with pairwise disjoint supports.
