# American Institute of Mathematical Sciences

January  2015, 35(1): 341-352. doi: 10.3934/dcds.2015.35.341

## A note on partially hyperbolic attractors: Entropy conjecture and SRB measures

 1 LMAM, School of Mathematical Sciences, Peking University, Beijing 100871 2 Department of Mathematics, Brigham Young University, Provo, Utah 84602

Received  September 2013 Revised  June 2014 Published  August 2014

In this note we show that, for a class of partially hyperbolic $C^r$ ($r \geq 1$) diffeomorphisms, (1) Shub's entropy conjecture holds true; (2) SRB measures exist as zero-noise limits.
Citation: Peidong Liu, Kening Lu. A note on partially hyperbolic attractors: Entropy conjecture and SRB measures. Discrete & Continuous Dynamical Systems - A, 2015, 35 (1) : 341-352. doi: 10.3934/dcds.2015.35.341
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