流动的非线性热力学形式

Pub Date : 2022-10-02 DOI:10.1080/14689367.2022.2098091

L. Barreira, Carllos Holanda

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引用次数: 0

摘要

摘要：我们介绍了一种流动的非线性热力学形式。此外，我们还讨论了具有调和变差的连续函数的几乎可加族的平衡测度的存在性、唯一性和性质。我们还谨慎地考虑了加法族的特殊情况，对于这些特殊情况，可以加强一些结果。证明主要基于多重分形分析。

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Nonlinear thermodynamic formalism for flows

ABSTRACT We introduce a version of the nonlinear thermodynamic formalism for flows. Moreover, we discuss the existence, uniqueness, and characterization of equilibrium measures for almost additive families of continuous functions with tempered variation. We also consider with some care the special case of additive families for which it is possible to strengthen some of the results. The proofs are mainly based on multifractal analysis.

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