12 citations · 61 across the 34 of their papers we have counts for
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Dolgopyat type estimates for pinched open billiard flows (Revised)
Luchezar Stoyanov
In this paper we consider open billiard flows in Euclidean spaces with C^1 (un)stable laminations over their non-wandering sets. We show that for such billiard flows the standard s…
Singularities of the scattering kernel related to trapping rays
Vesselin Petkov, Luchezar Stoyanov
An obstacle odd, is called trapping if there exists at least one generalized bicharacteristic of the wave equation staying in a neighborhoo…
Correlations for pairs of periodic trajectories for open billiards
Vesselin Petkov, Luchezar Stoyanov
In this paper we prove two asymptotic estimates for pairs of closed trajectories for open billiards similar to those established by Pollicott and Sharp for closed geodesics on nega…
Analytic continuation of the resolvent of the Laplacian and the dynamical zeta function
Vesselin Petkov, Luchezar Stoyanov
Let be the abscissa of absolute convergence of the dynamical zeta function for several disjoint strictly convex compact obstacles $K_i \subset \R^N, i = 1,..., κ_0…