不可逆映射的逆压力估计和稳定维数的独立性
Inverse pressure estimates and the independence of stable dimension for non-invertible maps
摘要：
本文利用反压力的概念估计了在稳定纤维中共形的双曲型不可逆映射的稳定维数。不可逆的情况不同于同形同象的情况。特别是，我们表明，如果地图是开放的各自的基本设置，那么稳定的尺寸是恒定的。我们也证明了在这种设置的稳定分布的Lipschitz连续性。
英文摘要：
We use the inverse pressure concept to estimate the stable dimension for hyperbolic non-invertible maps which are conformal in the stable fibers. The non-invertible case is different than the diffeomorphism case. In particular we show that if the map is open on the respective basic set, then the stable dimension is constant everywhere. We prove also in this setting the Lipschitz continuity of the stable distribution.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
