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Ergodic properties of horocyclic flows on infinite volume hyperbolic surfaces

Presenter
January 29, 2015
MSRI
Keywords:
  • PSL(2,R)
  • ergodic flow
  • Birkhoff's ergodicity theorem
  • conservative ergodic measures
  • discrete group actions
  • geometrically finite surface
MSC:
  • 37A17
  • 37A10
  • 37A35
  • 37A45
  • 37Axx
  • 37-xx
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Abstract
I will present equidistribution results for the horocyclic flow, and the strategy of the proofs, involving the dynamical properties of the geodesic flow, and a theorem of unique ergodicity of the horocyclic flow due to Burger and Roblin.
Abstract
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