7 citations · 12 across the 11 of their papers we have counts for
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math.DS2020
Generic Rotation Sets in Hyperbolic Surfaces
J. Alonso, J. Brum, A. Passeggi
We show that for generic homeomorphisms homotopic to the identity in a closed and oriented surface of genus , the rotation set is given by a union of at most convex…
math.GT2020★ 2 cited
Topology of leaves for minimal laminations by non-simply connected hyperbolic surfaces
Sébastien Alvarez, Joaquín Brum
We give the topological obstructions to be a leaf in a minimal lamination by hyperbolic surfaces whose generic leaf is homeomorphic to a Cantor tree. Then, we show that all allowed…
math.GR2020★ 1 cited
On the geometry of positive cones in finitely generated groups
J. Alonso, Y. Antolín, J. Brum +1
We study the geometry of positive cones of left-invariant total orders (left-order, for short) in finitely generated groups. We introduce the \textit{Hucha property} and the \texit…