3 papers
math.DS2021
-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…
math.DG2020
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…
math.SG2020
-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…