2 citations · 3 across the 9 of their papers we have counts for
4 papers · 1 filter
From curve shortening to flat link stability and Birkhoff sections of geodesic flows
Marcelo R. R. Alves, Marco Mazzucchelli
We employ the curve shortening flow to establish three new results on the dynamics of geodesic flows of closed Riemannian surfaces. The first one is the stability, under -smal…
Closed geodesics and the first Betti number
Gonzalo Contreras, Marco Mazzucchelli
We prove that, on any closed manifold of dimension at least two with non-trivial first Betti number, a generic Riemannian metric has infinitely many closed geodesics, an…
On potentials whose level sets are orbits
Philippe Bolle, Marco Mazzucchelli, Andrea Venturelli
A level orbit of a mechanical Hamiltonian system is a solution of Newton equation that is contained in a level set of the potential energy. In 2003, Mark Levi asked for a character…
On the Barcode Entropy of Reeb Flows
Erman Cineli, Viktor L. Ginzburg, Basak Z. Gurel +1
In this paper we continue investigating connections between Floer theory and dynamics of Hamiltonian systems, focusing on the barcode entropy of Reeb flows. Barcode entropy is the…