1 citations · 1 across the 3 of their papers we have counts for
4 papers
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…
The bifurcation set as a topological invariant for one-dimensional dynamics
Gabriel Fuhrmann, Maik Gröger, Alejandro Passeggi
For a continuous map on the unit interval or circle, we define the bifurcation set to be the collection of those interval holes whose surviving set is sensitive to arbitrarily smal…
Deviations in the Franks-Misiurewicz conjecture
Alejandro Passeggi, Martín Sambarino
We show that if there exists a counter example for the rational case of the Franks-Misiurewicz conjecture, then it must exhibit unbounded deviations in the complementary direction…
A classification of minimal sets for surface homeomorphisms
Alejandro Passeggi, Juliana Xavier
We classify minimal sets of (closed and oriented) hyperbolic surface homeomorphisms by studying the connected components of their complement. This extends the classification given…