14 citations · 100 across the 47 of their papers we have counts for
6 papers · 1 filter
Spectral shift function for operators with crossed magnetic and electric fields
Mouez Dimassi, Vesselin Petkov
We obtain a representation formula for the derivative of the spectral shift function related to the operators and $H(B, ε) = H_0…
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…
Estimates of holomorphic functions in zero-free domains
Alexander Borichev, Vesselin Petkov
We study functions f(z) holomorphic in the upper half plane and having no zeros when the imaginary part of z is between 0 and 1, and we obtain a lower bound for the modulus of f(z)…
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…
Accelerating spaceships paradox and physical meaning of length contraction
Vesselin Petkov
A fifty-year old apparently paradoxical thought experiment involving two accelerating spaceships and a thread hat connects them states that the thread will break due to length cont…