13 citations · 19 across the 13 of their papers we have counts for
15 papers
Flexibility of eigenvalues for graph Laplacians arising from genus 3 surfaces
Alena Erchenko, Dmitry Jakobson, Allison Tsypin
It is known that the small eigenvalues of the Laplacian of a Riemann surface close to the boundary of the modular space can be well approximated by the eigenvalues of the discrete…
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 topological entropy along the Ricci flow near a hyperbolic metric
Karen Butt, Alena Erchenko, Tristan Humbert
In 2004, Manning showed that the topological entropy of the geodesic flow of a closed surface of non-constant negative curvature is strictly decreasing along the normalized Ricci f…
Marked Poincar{é} rigidity near hyperbolic metrics
Karen Butt, Alena Erchenko, Tristan Humbert +2
Let be a compact manifold without boundary equipped with a Riemannian metric of negative curvature. In this paper, we introduce the marked Poincar{é} determinant (MPD), a h…
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…