53 citations · 284 across the 40 of their papers we have counts for
5 papers · 1 filter
On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables
Guan Huang, Vadim Kaloshin
In this paper, we show that any smooth one-parameter deformations of a strictly convex integrable billiard table preserving the integrability near the boundary have to be tan…
Marked Length Spectrum, homoclinic orbits and the geometry of open dispersing billiards
Péter Bálint, Jacopo De Simoi, Vadim Kaloshin +1
We consider billiards obtained by removing three strictly convex obstacles satisfying the non-eclipse condition on the plane. The restriction of the dynamics to the set of non-esca…
Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem
Marcel Guardia Vadim Kaloshin, Jianlu Zhang
For the Restricted Circular Planar 3 Body Problem, we show that there exists an open set in phase space independent of fixed measure, where the set of initial points w…
A locally integrable non-separable analytic geodesic flow
Livia Corsi, Vadim Kaloshin
We explicitely construct an example of an analytic metric on which is non-separable but it is locally integrable on an energy surface. The construction is based on a KAM-like…
Non-isometric domains with the same Marvizi-Melrose invariants
Lev Buhovsky, Vadim Kaloshin
For any strictly convex planar domain with a boundary one can associate an infinite sequence of spectral invariants introduced by Marvizi-Merlose…