21 citations · 41 across the 5 of their papers we have counts for
6 papers
An entropic characterization of the flat metrics on the two torus
Patrick Bernard, Clémence Labrousse
The geodesic flow of the flat metric on a torus is minimizing the polynomial entropy among all geodesic flows on this torus. We prove here that this properties characterises the fl…
Polynomial entropy for the circle homeomorphisms and for nonvanishing vector fields on $\T^2$
Clémence Labrousse
We prove that the polynomial entropy of an orientation preserving homeomorphism of the circle equals 1 when the homeomorphism is not conjugate to a rotation and that it is 0 otherw…
Slow volume growth for Reeb flows on spherizations and contact Bott--Samelson theorems
Urs Frauenfelder, Clémence Labrousse, Felix Schlenk
We give a uniform lower bound for the polynomial complexity of all Reeb flows on the spherization (S*M,ξ) over a closed manifold. Our measure for the dynamical complexity of Reeb f…
Polynomial entropies for Bott nondegenerate Hamiltonian systems
Clémence Labrousse, Jean-Pierre Marco
In this paper, we study the entropy of a Hamiltonian flow in restriction to an enregy level where it admits a first integral which is nondegenerate in the Bott sense. It is easy to…
Flat metrics are local strict minimizers for the polynomial entropy
Clémence Labrousse
As we have proved in [L], the geodesic flows associated with the flat metrics on T^2 minimize the polynomial entropy. In this paper, we show that, among the geodesic flows that are…
Polynomial growth of volume of balls for zero-entropy geodesic systems
Clémence Labrousse
The aim of this paper is to state and prove polynomial analogues of the classical Manning inequality relating the topological entropy of a geodesic flow with the growth rate of the…