Measure rigidity of Anosov flows via the factorization method

Autor:	Katz, Asaf
Rok vydání:	2023
Předmět:	Mathematics::Dynamical Systems FOS: Mathematics Dynamical Systems (math.DS) Geometry and Topology Mathematics - Dynamical Systems Analysis
Zdroj:	Geometric and Functional Analysis. 33:468-540
ISSN:	1420-8970 1016-443X
Popis:	Using the factorization method, a method pioneered by Eskin and Mirzakhani in their groundbreaking work about measure classification over the moduli space of translation surfaces, we show that generalized $u$-Gibbs states over quantitatively non-integrable Anosov systems are absolutely continuous with respect to the whole unstable manifold. Expanded version, generalized theorem and various corrections
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b3e8dd58934e01f537d1439c702c947 https://doi.org/10.1007/s00039-023-00629-8 Zobrazit plný text záznamu Full text from SpringerLink