12 citations · 61 across the 34 of their papers we have counts for
37 papers
Some open billiards with distinct top Lyapunov exponents
Amal Al Dowais, Luchezar Stoyanov
We study open billiard flows in generated by reflections in the exterior of at least three ellipsoids with boundaries. Each obstacle is congruent to $$\tilde{K…
Gibbs measures for contact Anosov flows are all exponentially mixing
Luchezar Stoyanov
In this work we study strong spectral properties of Ruelle transfer operators related to Gibbs measures for contact Anosov flows. As a consequence we establish exponential decay of…
Rigidity of Travelling Times for Strictly Convex Obstacles in Riemannian Manifolds
Tal Gurfinkel, Lyle Noakes, Luchezar Stoyanov
Let and be two disjoint unions of strictly convex obstacles contained within a Riemannian manifold with boundary of dimension . The sets of travelling times $\…
Uniqueness of Obstacles in Riemannian Manifolds from Travelling Times
Tal Gurfinkel, Lyle Noakes, Luchezar Stoyanov
Suppose that and are two disjoint unions of strictly convex obstacles with the same set of travelling times, contained in an -dimensional Riemannian manifold (where…
Recovering Obstacles from their Travelling Times
Tal Gurfinkel, Lyle Noakes, Luchezar Stoyanov
Noakes and Stoyanov (2021) introduced a method of recovering strictly convex planar obstacles from their set of travelling times. We provide an extension of this construction for o…
Lyapunov Exponents for Open Billiards in the Exterior of Balls
Amal Al Dowais, Luchezar Stoyanov
In this paper we consider the billiard flow in the exterior of several (at least three) balls in with centres lying on a plane. We assume that the balls satisfy the no eclip…