The Poisson boundary of a locally discrete group of diffeomorphisms of the circle

2011/03/05 by Bertrand Deroin, Deroin, Bertrand
Mathematics · #20P05 #37H15 #Dynamical Systems (math.DS) #FOS: Mathematics #Group Theory (math.GR) #math.DS #math.GR #msc:20P05 #msc:37H15

paper · pdf · doi:10.48550/arxiv.1103.0998

16 pages

arxiv created 2011/12/27 · arxiv updated 2011/12/30

Abstract

We compute the Poisson boundary of locally discrete groups of diffeomorphisms of the circle.

Related

• Poisson structures whose Poisson diffeomorphism group is not locally path-connected
• A construction of the measurable Poisson boundary: from discrete to continuous groups
• Poisson boundary of groups acting on real trees
• The Boundary of a Square Tiling of a Graph coincides with the Poisson Boundary
• The Poisson formula for groups with hyperbolic properties