13 citations · 19 across the 13 of their papers we have counts for
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Exceptional directions for the Teichmüller geodesic flow and Hausdorff dimension
Hamid Al-Saqban, Paul Apisa, Alena Erchenko +3
We prove that for every flat surface , the Hausdorff dimension of the set of directions in which Teichmüller geodesics starting from exhibit a definite amount of deviation f…
Flexibility of entropies for surfaces of negative curvature
Alena Erchenko, Anatole Katok
We consider a smooth closed surface of fixed genus with a Riemannian metric of negative curvature with fixed total area. The second author has shown that the…
Flexibility of geometrical and dynamical data in fixed conformal classes
Thomas Barthelmé, Alena Erchenko
Consider a smooth closed surface of fixed genus with a hyperbolic metric of total area . In this article, we study the behavior of geometric and dynamical…
Flexibility of exponents for expanding maps on a circle
Alena Erchenko
We consider a smooth expanding map g on the circle of degree 2. It is known that the Lyapunov exponent of g with respect to the unique invariant measure that is absolutely continuo…