New York Journal of Mathematics
Volume 18 (2012) 95-120

  

Sue Goodman and Jane Hawkins

Ergodic and chaotic properties of Lipschitz maps on smooth surfaces

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Published: March 6, 2012
Keywords: dynamics on surfaces, one-sided Bernoulli, measure preserving systems, chaotic dynamics
Subject: 37A, 37E, 57M

Abstract
We construct noninvertible maps on every compact surface and study their chaotic properties from both the measure theoretic and topological points of view. We use some topological techniques employed by others for diffeomorphisms and extend to the noninvertible case.


Acknowledgements

The research of the second author was funded in part by a UNC URC grant


Author information

Sue Goodman:
Department of Mathematics, University of North Carolina at Chapel Hill, CB #3250, Chapel Hill, North Carolina 27599-3250
seg@email.unc.edu

Jane Hawkins:
Department of Mathematics, University of North Carolina at Chapel Hill, CB #3250, Chapel Hill, North Carolina 27599-3250
jmh@math.unc.edu