What Are SRB Measures, and Which Dynamical Systems Have Them?

  title={What Are SRB Measures, and Which Dynamical Systems Have Them?},
  author={Lai-Sang Young},
  journal={Journal of Statistical Physics},
  • L. Young
  • Published 1 December 2002
  • Physics
  • Journal of Statistical Physics
This is a slightly expanded version of the text of a lecture I gave in a conference at Rutgers University in honor of David Ruelle and Yasha Sinai. In this lecture I reported on some of the main results surrounding an invariant measure introduced by Sinai, Ruelle, and Bowen in the 1970s. SRB measures, as these objects are called, play an important role in the ergodic theory of dissipative dynamical systems with chaotic behavior. Roughly speaking, 
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