Measure rigidity of Anosov flows via the factorization method
Dynamical Systems
2023-03-21 v2
Abstract
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 -Gibbs states over quantitatively non-integrable Anosov systems are absolutely continuous with respect to the whole unstable manifold.
Keywords
Cite
@article{arxiv.1910.14091,
title = {Measure rigidity of Anosov flows via the factorization method},
author = {Asaf Katz},
journal= {arXiv preprint arXiv:1910.14091},
year = {2023}
}
Comments
Expanded version, generalized theorem and various corrections