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
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.