27 citations · 195 across the 31 of their papers we have counts for
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The Tits alternative for the automorphism group of a free product
Camille Horbez
Let be a countable group which splits as a free product, where all groups are freely indecomposable and not isomorphic to , and …
Hyperbolic graphs for free products, and the Gromov boundary of the graph of cyclic splittings
Camille Horbez
We define analogues of the graphs of free splittings, of cyclic splittings, and of maximally-cyclic splittings of for free products of groups, and show their hyperbolicity. G…
The boundary of the outer space of a free product
Camille Horbez
Let be a countable group that splits as a free product of groups of the form , where is a finitely generated free group. We identify the c…
The horoboundary of outer space, and growth under random automorphisms
Camille Horbez
We show that the horoboundary of outer space for the Lipschitz metric is a quotient of Culler and Morgan's classical boundary, two trees being identified whenever their translation…
Automorphisms of graphs of cyclic splittings of free groups
Camille Horbez, Richard D. Wade
We prove that any isometry of the graph of cyclic splittings of a finitely generated free group of rank is induced by an outer automorphism of . The same statem…
The Poisson boundary of
Camille Horbez
Let be a probability measure on with finite first logarithmic moment with respect to the word metric, finite entropy, and whose support generates a nonelement…
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…
A short proof of Handel and Mosher's alternative for subgroups of
Camille Horbez
We give a short proof of a theorem of Handel and Mosher stating that any finitely generated subgroup of either contains a fully irreducible automorphism, or virtu…