双曲吸引子与扩张映射族中SRB熵泛函的行为
Behavior of the SRB Entropy Functional in Families of Hyperbolic Attractors and Expanding Maps
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中文总结 AI 辅助
本文综述均匀双曲系统族开分支上SRB熵泛函的研究现状，探讨其极值、梯度流及边界附近行为，涉及Anosov系统等多类双曲系统。
中文摘要 AI 辅助
我们综述了均匀双曲系统族开分支上SRB熵泛函的研究现状，涵盖Anosov系统、双曲吸引子、扩张映射及马尔可夫变换。我们探讨该泛函的下确界、上确界、局部极值、由其诱导的梯度流，以及在开分支边界附近的行为。
英文摘要
We review the current state of the study of the SRB entropy functional over open components of families of uniformly hyperbolic systems, including Anosov systems, hyperbolic attractors, expanding maps, and Markov transformations. We address problems concerning the functional's infimum, supremum, and local extrema; the gradient flow induced by the functional; and the functional's behavior near the boundary of open components.
发表机构
- Wake Forest University（韦克森林大学）
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