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math.DS2026
Entropy and Translation Length in the Ray Graph
Juliette Bavard, Danny Calegari, Alden Walker
Let be the mapping class group of the plane minus a Cantor set, acting on the ray graph , and for let denote the translation length of on $\mat…
math.DS2015★ 1 cited
Conjugacy invariants for Brouwer mapping classes
Juliette Bavard
We give new tools for homotopy Brouwer theory. In particular, we describe a canonical reducing set (the set of "walls") which splits the plane into maximal translation areas and ir…
math.DS2014★ 32 cited
Hyperbolicité du graphe des rayons et quasi-morphismes sur un gros groupe modulaire
Juliette Bavard
The mapping class group of the complement of a Cantor set in the plane arises naturally in dynamics. We show that the ray graph, which is the analog of the complex of curves fo…