Geodesic
The action of the mapping class group on the space of geodesic rays of a punctured hyperbolic surface
Brian H. Bowditch1 ; Makoto Sakuma2
1University of Warwick, Coventry, UK
2Hiroshima University, Higashi-Hiroshima, Japan
Groups, geometry, and dynamics, Tome 12 (2018) no. 2, pp. 703-719

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DOI

Let Σ be a complete finite-area orientable hyperbolic surface with one cusp, and let R be the space of complete geodesic rays in Σ emanating from the puncture. Then there is a natural action of the mapping class group of Σ on R. We show that this action is "almost everywhere" wandering.
DOI : 10.4171/ggd/453
Classification : 20-XX, 30-XX, 57-XX
Mots-clés : Mapping class group, hyperbolic surface, geodesic ray, wandering domain

Brian H. Bowditch  1   ; Makoto Sakuma  2

1 University of Warwick, Coventry, UK
2 Hiroshima University, Higashi-Hiroshima, Japan 
Brian H. Bowditch; Makoto Sakuma. The action of the mapping class group on the space of geodesic rays of a punctured hyperbolic surface. Groups, geometry, and dynamics, Tome 12 (2018) no. 2, pp. 703-719. doi: 10.4171/ggd/453
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     title = {The action of the mapping class group on the space of geodesic rays of a punctured hyperbolic surface},
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