论文标题

对具有亚addize势能的部分双曲线差异的不稳定拓扑压力

Unstable Topological Pressure for Partially Hyperbolic Diffeomorphisms with Sub-additive Potentials

论文作者

Zhang, Wenda, Li, Zhiqiang, Zhou, Yunhua

论文摘要

在本文中,我们引入了C^1平滑的部分双曲线差的拓扑压力,具有亚添加潜力。此外,在没有任何其他假设的情况下,我们已经建立了将这种不稳定的拓扑压力和不稳定度量理论熵以及相应的Lyapunov指数连接起来的预期变分原理。

In this paper, we introduce the unstable topological pressure for C^1-smooth partially hyperbolic diffeomorphisms with sub-additive potentials. Moreover, without any additional assumption, we have established the expected variational principle which connects this unstable topological pressure and the unstable measure theoretic entropy, as well as the corresponding Lyapunov exponent.

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