SRB Measures and Homoclinic Relation for Endomorphisms

Author:

Mehdipour P.,Tahzibi A.

Funder

Fapesp

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference15 articles.

1. Barreira, L., Pesin, Y.B.: Lyapunov Exponents and Smooth Ergodic Theory. University Lecture Series, vol. 23. American Mathematical Society, Providence (2002)

2. Bonatti, C., Díaz, L.J., Viana, M.: Dynamics Beyound Uniform Hyperbolicity. Encyclopedia of Mathematical Sciences, vol. 102. Springer, Berlin (2005)

3. Cornfeld, I.P., Fomin, S.V., Sinai, Y.G.: Ergodic Theory. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 245. Springer, New York (1982)

4. Hertz, R.F., Hertz, M.R., Tahzibi, A., Ures, R.: Uniqueness of SRB measures for transitive diffeomorphisms on surfaces. Commun. Math. Phys. 306(1), 35–49 (2011)

5. Hirayama, M., Sumi, N.: On the ergodicity of hyperbolic Sinaí-Ruelle-Bowen measures: the constant unstable dimension case. Ergod. Theory Dyn. Syst., 1–22 (2015). doi: 10.1017/etds.2014.124

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