流动的非线性热力学形式

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Dynamical Systems-An International Journal 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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来源期刊

Dynamical Systems-An International Journal 物理-力学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Dynamical Systems: An International Journal is a world-leading journal acting as a forum for communication across all branches of modern dynamical systems, and especially as a platform to facilitate interaction between theory and applications. This journal publishes high quality research articles in the theory and applications of dynamical systems, especially (but not exclusively) nonlinear systems. Advances in the following topics are addressed by the journal: •Differential equations •Bifurcation theory •Hamiltonian and Lagrangian dynamics •Hyperbolic dynamics •Ergodic theory •Topological and smooth dynamics •Random dynamical systems •Applications in technology, engineering and natural and life sciences