Louis Merlin

collaborators

2 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.DG2021

A Finsler counterexample to the Croke conjecture for the systolic ratio on the 2-sphere

Guillaume Buro, Louis Merlin

We exhibit a Finsler metric on the 2-sphere whose systolic (Holmes-Thompson) ratio is $\frac{4 π}{3}$ . This is bigger than the conjectured maximal Riemannian systolic ratio of $2\sq…

C0-Robustness of topological entropy for geodesic flows

A Finsler counterexample to the Croke conjecture for the systolic ratio on the 2-sphere

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