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arXiv · 1904.10608

Ergodic optimization theory for Axiom A flows

Wen Huang·Zeng Lian·Xiao Ma·Leiye Xu·Yiwei Zhang
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Abstract

In this article, we consider the weighted ergodic optimization problem Axiom A attractors of a $C^2$ flow on a compact smooth manifold. The main result obtained in this paper is that for a generic observable from function space $\mc C^{0,\a}$ ($\a\in(0,1]$) or $\mc C^1$ the minimizing measure is unique and is supported on a periodic orbit.

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Wen Huang, Zeng Lian, Xiao Ma, Leiye Xu, Yiwei Zhang. 2019-04-24. Ergodic optimization theory for Axiom A flows. https://arxiv.org/abs/1904.10608

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