27 citations · 195 across the 31 of their papers we have counts for
5 papers · 1 filter
Big mapping class groups with hyperbolic actions: classification and applications
Camille Horbez, Yulan Qing, Kasra Rafi
We address the question of determining which mapping class groups of infinite-type surfaces admit nonelementary continuous actions on hyperbolic spaces. More precisely, let be…
A compactification of outer space which is an absolute retract
Mladen Bestvina, Camille Horbez
We define a new compactification of outer space (the \emph{Pacman compactification}) which is an absolute retract, for which the boundary is a -set. The classical compact…
Spectral rigidity for primitive elements of
Camille Horbez
Two trees in the boundary of outer space are said to be \emph{primitive-equivalent} whenever their translation length functions are equal in restriction to the set of primitive ele…
The hyperbolicity of the sphere complex via surgery paths
Arnaud Hilion, Camille Horbez
Handel and Mosher have proved that the free splitting complex FS for the free group is Gromov hyperbolic. This is a deep and much sought-after result, since it establishes FS as a…
Sphere paths in outer space
Camille Horbez
We give estimates on the length of paths defined in the sphere model of outer space using a surgery process, and show that they make definite progress in some sense when they remai…