1 citations · 2 across the 7 of their papers we have counts for
10 papers
Robustness of topological entropy under small area deformations
Marcelo R. R. Alves, Matthias Meiwes, Beomjun Sohn
In this paper, we establish a new type of stability phenomenon for the topological entropy of Hamiltonian diffeomorphisms of closed surfaces. For a closed surface endowed with an a…
Polytopes and -Riemannian metrics with positive
Marcelo R. R. Alves, Matthias Meiwes
We study Reeb dynamics on starshaped hypersurfaces in arising as smoothings of starshaped polytopes. Using the --stability of positive topological entropy for R…
On the barcode entropy of Lagrangian submanifolds
Matthias Meiwes
This article deals with relative barcode entropy, a notion that was recently introduced by Cineli, Ginzburg, and Gurel. We exhibit some settings in closed symplectic manifolds for…
C^0-stability of topological entropy for Reeb flows in dimension 3
Marcelo R. R. Alves, Lucas Dahinden, Matthias Meiwes +1
We study stability properties of the topological entropy of Reeb flows on contact 3-manifolds with respect to the C^0-distance on the space of contact forms. Our main results show…
Topological entropy and orbit growth in link complements
Matthias Meiwes
In this article, we exhibit certain linking properties of periodic orbits of flows with positive topological entropy on closed 3-manifolds M. It is shown that any such fl…
Braid stability and the Hofer metric
Marcelo R. R. Alves, Matthias Meiwes
In this article we show that the braid type of a set of -periodic orbits of a non-degenerate Hamiltonian diffeomorphism on a surface is stable under perturbations which are suff…
Hofer's geometry and topological entropy
Arnon Chor, Matthias Meiwes
In this article we study persistence features of topological entropy and periodic orbit growth of Hamiltonian diffeomorphisms on surfaces with respect to Hofer's metric. We exhibit…
-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 topology. We establish several instances of e…
Dynamically exotic contact spheres in dimensions
Marcelo R. R. Alves, Matthias Meiwes
We exhibit the first examples of contact structures on with and on , all equipped with their standard smooth structures, for which every Reeb fl…
Translated points on hypertight contact manifolds
Matthias Meiwes, Kathrin Naef
A contact manifold admittting a supporting contact form without contractible Reeb orbits is called hypertight. In this paper we construct a Rabinowitz Floer homology associated to…