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Nonadditive topological pressure for flows
Nonlinearity ( IF 1.7 ) Pub Date : 2020-05-28 , DOI: 10.1088/1361-6544/ab81ec
Luis Barreira , Carllos Holanda

We introduce a version of the nonadditive topological pressure for flows and we describe some of its main properties. In particular, we discuss how the nonadditive topological pressure varies with the data and we establish a variational principle in terms of the Kolmogorov–Sinai entropy. We also consider corresponding capacity topological pressures. In the particular case of subadditive families of functions we give a simpler characterization of these pressures. To the possible extent we follow corresponding arguments for maps, although various proofs require nontrivial modifications.

中文翻译:

流量的非累加拓扑压力

我们介绍了一种非附加的流动拓扑压力,并描述了其一些主要特性。特别是,我们讨论了非加性拓扑压力如何随数据变化,并根据Kolmogorov-Sinai熵建立了变分原理。我们还考虑了相应的容量拓扑压力。在子加性函数族的特殊情况下,我们对这些压力进行了更简单的描述。尽管各种证明都要求不平凡的修改,但在可能的范围内,我们遵循地图的相应论点。
更新日期:2020-05-28
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