13 citations · 19 across the 13 of their papers we have counts for
10 papers · 1 filter
Normal forms in a neighborhood of hyperbolic periodic orbits for flows in dimension 3
Alena Erchenko, Kurt Vinhage, Yun Yang
In a neighborhood of a hyperbolic periodic orbit of a volume-preserving flow on a manifold of dimension 3, we define and show the existence of a normal form for the generator of th…
Monotonicity of the Liouville entropy along the Ricci flow on surfaces
Karen Butt, Alena Erchenko, Tristan Humbert +1
We show that the Liouville entropy of the geodesic flow of a closed surface of non-constant negative curvature is eventually strictly increasing along the normalized Ricci flow (NR…
Local product structure for equilibrium states of geodesic flows and applications
Benjamin Call, David Constantine, Alena Erchenko +2
Let be a compact surface of genus equipped with a metric that is flat everywhere except at finitely many cone points with angles greater than . We examine the geod…
Unique equilibrium states for geodesic flows on flat surfaces with singularities
Benjamin Call, David Constantine, Alena Erchenko +2
Consider a compact surface of genus equipped with a metric that is flat everywhere except at finitely many cone points with angles greater than . Following the techniq…
Flexibility of Lyapunov exponents with respect to two classes of measures on the torus
Alena Erchenko
We consider a smooth area-preserving Anosov diffeomorphism homotopic to an Anosov automorphism of . It is known that t…
Geometry and entropies in a fixed conformal class on surfaces
Thomas Barthelmé, Alena Erchenko
We show the flexibility of the metric entropy and obtain additional restrictions on the topological entropy of geodesic flow on closed surfaces of negative Euler characteristic wit…