6 citations · 7 across the 4 of their papers we have counts for
4 papers
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…
-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…
Introducing sub-Riemannian and sub-Finsler Billiards
Lucas Dahinden, Álvaro del Pino
We define billiards in the context of sub-Finsler Geometry. We provide symplectic and variational (or rather, control theoretical) descriptions of the problem and show that they co…
-Stability of Topological Entropy for Contactomorphisms
Lucas Dahinden
Topological entropy is not lower semi-continous: small perturbation of the dynamical system can lead to a collapse of entropy. In this note we show that for some special classes of…