32 citations · 67 across the 7 of their papers we have counts for
9 papers
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…
An infinite clique of high-filling rays in the plane minus a Cantor set
Juliette Bavard
The study of the mapping class group of the plane minus a Cantor set uses a graph of loops, which is an analogous of the curve graph in the study of mapping class groups of compact…
Two simultaneous actions of big mapping class groups
Juliette Bavard, Alden Walker
We study two actions of big mapping class groups. The first is an action by isometries on a Gromov-hyperbolic graph. The second is an action by homeomorphisms on a circle in which…
Gromov-Hyperbolicity of the ray graph and quasimorphisms on a big mapping class group
Juliette Bavard
These notes are the English version of the paper "Hyperbolicité du graphe des rayons et quasi-morphismes sur un gros groupe modulaire". The mapping class group Gamma of the complem…
Isomorphisms between big mapping class groups
Juliette Bavard, Spencer Dowdall, Kasra Rafi
We show that any isomorphism between mapping class groups of orientable infinite-type surfaces is induced by a homeomorphism between the surfaces. Our argument additionally applies…
The Gromov boundary of the ray graph
Juliette Bavard, Alden Walker
The ray graph is a Gromov hyperbolic graph on which the mapping class group of the plane minus a Cantor set acts by isometries. We give a description of the Gromov boundary of the…
Big mapping class groups are not acylindrically hyperbolic
Juliette Bavard, Anthony Genevois
We give a criterion to prove that some groups are not acylindrically hyperbolic. As an application, we prove that the mapping class group of an infinite type surface is not acylind…
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…
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…