12 citations · 61 across the 34 of their papers we have counts for
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math.DS2016
A uniform estimate for rate functions in large deviations
Luchezar Stoyanov
Given Hölder continuous functions and on a sub-shift of finite type such that is not cohomologous to a constant, the classical large deviation principle holds…
math.DS2016
Quantitative Pesin theory for Anosov diffeomorphisms and flows
Sébastien Gouëzel, Luchezar Stoyanov
Pesin sets are measurable sets along which the behavior of a matrix cocycle above a measure preserving dynamical system is explicitly controlled. In uniformly hyper-bolic dynamics,…
math.DS2016★ 2 cited
Santalo's formula and stability of trapping sets of positive measure
Luchezar Stoyanov
Billiard trajectories (broken generalised geodesics) are considered in the exterior of an obstacle with smooth boundary on an arbitrary Riemannian manifold. We prove a generali…