论文标题
潜在的非加工家族：物理等效性和一些规律关系
Nonadditive families of potentials: physical equivalence and some regularity relations
论文作者
论文摘要
我们表明，相对于悬架流的连续功能的加性和渐近添加剂家族在物理上是等效的。特别是，双曲线流和某些类别的膨胀流总体上的等效结果总体上存在。此外，我们展示了如何使用这种等价结果来扩展非添加热力学形式主义和多重分析分析。在这项工作的第二部分中，我们为非辅助家族获得了类似Livšic的结果，并解决了与双曲线符号流有关的物理等效关系的Hölder和Bowen的规律性问题。
We show that additive and asymptotically additive families of continuous functions with respect to suspension flows are physically equivalent. In particular, the equivalence result holds for hyperbolic flows and some classes of expansive flows in general. Moreover, we show how this equivalence result can be used to extend the nonadditive thermodynamic formalism and multifractal analysis. In the second part of this work, we obtain a Livšic-like result for nonadditive families of potentials and also address the Hölder and Bowen regularity problem for the physical equivalence relations with respect to hyperbolic symbolic flows.
