2 citations · 5 across the 7 of their papers we have counts for
7 papers
-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…
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 . This is bigger than the conjectured maximal Riemannian systolic ratio of $2\sq…
Bending laminations on convex hulls of anti-de Sitter quasicircles
Louis Merlin, Jean-Marc Schlenker
Let and be two bounded measured laminations on the hyperbolic disk , which "strongly fill" (definition below). We consider the left earthquakes along …
A curvature-free Log(2k-1) Theorem
Florent Balacheff, Louis Merlin
This paper presents a curvature-free version of the Log(2k-1) Theorem of Anderson, Canary, Culler & Shalen [ACCS96]. It generalizes a result by Hou [Hou01] and its proof is rather…
A note on degenerations of Morse actions
Louis Merlin
We study Morse representations of discrete subgroups in higher rank semi-simple Lie groups defined by M. Kapovich, B. Leeb and J. Porti. We show that, if a sequence of Morse repres…
On the entropy of Hilbert Geometries of Low Regularities
Jan Cristina, Louis Merlin
We compare the regularity of the boundary of a convex set with the value of its Finslerian volume entropy. The main result states that the volume entropy of a two-dimensional domai…
Minimal entropy for uniform lattices in PSL
Louis Merlin
We prove that, among metrics on a compact quotient of (product of hyperbolic planes) of prescribed total volume, the product of hyperbolic metrics has…