A. Erchenko

most citedFlexibility of geometrical and dynamical data in fixed conformal classes

2 citations · 2 across the 1 of their papers we have counts for

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math.DS2019

Flexibility of Lyapunov exponents with respect to two classes of measures on the torus

Alena Erchenko

We consider a smooth area-preserving Anosov diffeomorphism $f : T^{2} \to T^{2}$ homotopic to an Anosov automorphism $L$ of $T^{2}$ . It is known that t…

math.DS2019

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…

math.DS2017

Flexibility of entropies for surfaces of negative curvature

Alena Erchenko, Anatole Katok

We consider a smooth closed surface $M$ of fixed genus $⩾ 2$ with a Riemannian metric $g$ of negative curvature with fixed total area. The second author has shown that the…

math.DS2017★ 2 cited

Flexibility of geometrical and dynamical data in fixed conformal classes

Thomas Barthelmé, Alena Erchenko

Consider a smooth closed surface $M$ of fixed genus $⩾ 2$ with a hyperbolic metric $σ$ of total area $A$ . In this article, we study the behavior of geometric and dynamical…