activity
20002024
most citedA (short) survey on Dominated Splitting

20 citations · 49 across the 13 of their papers we have counts for

collaborators

18 papers

math.DS2024

A note on weak conjugacy for homeomorphisms of surfaces

Frédéric Le Roux, Alejandro Passeggi, Martin Sambarino +1

We explore the relation of weak conjugacy in the group of homeomorphisms isotopic to the identity, for surfaces.

math.DS2023

Expansive partially hyperbolic diffeomorphisms with one-dimensional center

Martín Sambarino, José Vieitez

We give sufficient conditions for an expansive partially hyperbolic diffeomorphism with one-dimensional center to be (topologically) Anosov.

math.DS2023★ 1 cited

Non contractible periodic orbits for generic hamiltonian diffeomorphisms of surfaces

Patrice Le Calvez, Martin Sambarino

Let be a closed surface of genus , furnished with an area form . We show that there exists an open and dense set of the space of Hamiltonian diffeo…

math.DS2023

Dynamical coherence in isotopy classes of fibered lifted partially hyperbolic diffeomorphisms

Luis Pedro Piñeyrúa, Martín Sambarino

We introduce the notion of \textit{fibered lifted partially hyperbolic diffeomorphisms} and we prove that any partially hyperbolic diifeomorphism isotopic to a fibered lifted one w…

math.DS2019★ 2 cited

Homoclinic orbits for area preserving diffeomorphisms

Patrice Le Calvez, Martin Sambarino

We show that C^r generically in the space of C^r conservative diffeomorphisms of a compact surface, every hyperbolic periodic point has a transverse homoclinic orbit

math.DS2018

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…