293 citations · 781 across the 49 of their papers we have counts for
61 papers
Topological median algebra structures on ER homology manifolds I: local cubulation
Mladen Bestvina, Kenneth Bromberg, Michah Sageev
We study topological median algebra structures on Euclidean spaces and, more generally, ER homology manifolds. We show that all such median structures have a local CAT(0) cubulatio…
Disintegrating the curve complex
Mladen Bestvina, Kenneth Bromberg, Alexander J. Rasmussen
We study a finite sequence of graphs, beginning with the curve graph and ending with a graph quasi-isometric to a tree. There is a Lipschitz map from one graph in the sequence to t…
Ergodic Measures in Strata
Mladen Bestvina, Jon Chaika, Sebastian Hensel
We determine the number of ergodic measures in each stratum of geodesic laminations on a surface.
Classification of Stable Surfaces with respect to Automatic Continuity
Mladen Bestvina, George Domat, Kasra Rafi
We provide a complete classification of when the homeomorphism group of a stable surface, , has the automatic continuity property: Any homomorphism from Homeo to a separabl…
Nonunique Ergodicity on the Boundary of Outer space
Mladen Bestvina, Elizabeth Field, Sanghoon Kwak
To an -tree in the boundary of Outer space, we associate two simplices: the simplex of projective length measures, and the simplex of projective dual currents. For both…
On the geometry of the free factor graph for
Mladen Bestvina, Martin R. Bridson, Richard D. Wade
Let be a pseudo-Anosov diffeomorphism of a compact (possibly non-orientable) surface with one boundary component. We show that if is the boundary word, $ϕ\in…