Marcelo R. R. Alves

activity

20172021

collaborators

4 papers

math.DS2021

$C^{0}$ -Robustness of topological entropy for geodesic flows

Marcelo R. R. Alves, Lucas Dahinden, Matthias Meiwes +1

In this paper, we study the regularity of topological entropy, as a function on the space of Riemannian metrics endowed with the $C^{0}$ topology. We establish several instances of e…

math.DS2020

Reeb orbits that force topological entropy

Marcelo R. R. Alves, Abror Pirnapasov

We develop a forcing theory of topological entropy for Reeb flows in dimension $3$ . A transverse link $L$ in a closed contact $3$ -manifold $(Y, ξ)$ is said to force topological entr…

math.SG2017

Dynamically exotic contact spheres in dimensions $\geq 7$

Marcelo R. R. Alves, Matthias Meiwes

We exhibit the first examples of contact structures on $S^{2 n - 1}$ with $n \geq 4$ and on $S^{3} \times S^{2}$ , all equipped with their standard smooth structures, for which every Reeb fl…

math.SG2017

Topological entropy for Reeb vector fields in dimension three via open book decompositions

Marcelo Alves, Vincent Colin, Ko Honda

Given an open book decomposition of a contact three man-ifold (M, $ξ$ ) with pseudo-Anosov monodromy and fractional Dehn twist coefficient c = k n, we construct a Legendrian knot $Λ…

C0-Robustness of topological entropy for geodesic flows

Reeb orbits that force topological entropy

Dynamically exotic contact spheres in dimensions ≥7

Topological entropy for Reeb vector fields in dimension three via open book decompositions

$C^{0}$ -Robustness of topological entropy for geodesic flows

Dynamically exotic contact spheres in dimensions $\geq 7$