12 citations · 61 across the 34 of their papers we have counts for
25 papers · 1 filter
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…
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…
Semi-continuity of Oseledets flags and Pesin sets with exponentially small tails
Luchezar Stoyanov
Let be an invertible transitive subshift of finite type over a bilateral symbol space , let be a Gibbs measure for determined by a Hölder continuous potential on …
Metric vs topological receptive entropy of semigroup actions
Andrzej Biś, Dikran Dikranjan, Anna Giordano Bruno +1
We study the receptive metric entropy for semigroup actions on probability spaces, inspired by a similar notion of topological entropy introduced by Hofmann and Stoyanov. We analyz…
Convex Obstacles from Travelling Times
Lyle Noakes, Luchezar Stoyanov
A construction is given for the recovery of a disjoint union of strictly convex smooth planar obstacles from travelling-time information. The obstacles are required to be such that…