论文标题

存在弱规则性双曲线图的SRB测量

Existence of SRB measures for hyperbolic maps with weak regularity

论文作者

Boukhecham, Houssam

论文摘要

我们证明了$ C^1 $双曲线图的差分足够常规,具有SRB度量。精确的规律性条件比H {Ö} lder弱,并通过发展扩展和统一双曲线动力学而提到。

We prove that a $C^1$ hyperbolic map whose differential is regular enough has an SRB measure. The precise regularity condition is weaker than H{ö}lder and was mentionned by various authors through the developement of expanding and uniformly hyperbolic dynamics.

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