Manuel Stadlbauer
The Bowen - Series map for some free groups
Preprint series: Mathematica Gottingensis
MSC:
30F35 Fuchsian groups and automorphic functions, See also {11Fxx, 20H10, 22E40, 32Gxx, 32Nxx}
51M15 Geometric constructions
Abstract: For some class of Fuchsian groups, the associated Bowen - Series map is
shown to be pointwise dual ergodic. In addition, the return sequence is
proved to be proportional to n/log(n). In contrast to other works, no
quasiconformal deformation has to be used.


Keywords: Bowen - Series map, Poincare section, Gibbs - Markov map, Infinite invariant measure