53 citations · 284 across the 40 of their papers we have counts for
45 papers
Stochastic behavior along mean motion resonances in the restricted planar 3-body problem
Marcel Guardia, Vadim Kaloshin, Pau Martín +1
One of the most remarkable instability zones in the Solar system are Kirkwood gaps in the asteroid belt. In this paper we analyze instabilities in the famous Kirkwood gap in…
Computation of a separatrix map and a normally hyperbolic invariant lamination for the RP3BP
Marcel Guardia, Vadim Kaloshin, Pau Martín +1
In this paper we discuss the existence of a normally hyperbolic invariant lamination (NHIL) at the Kirkwood gap for the Restricted Planar Elliptic 3 Body Problem. This proble…
Birkhoff Conjecture for nearly centrally symmetric domains
Vadim Kaloshin, Comlan Edmond Koudjinan, Ke Zhang
In this paper we prove a perturbative version of a remarkable Bialy-Mironov (Ann.Math:389-413(196), 2022) result. They prove non perturbative Birkhoff conjecture for centrally-symm…
Non co-preservation of the & -rational caustics along deformations of circles
V. Kaloshin, C. E. Koudjinan
For any given positive integer , we prove that every plane deformation of a circle which preserves the and -rational caustics is trivial i.e. the deformation con…
On some invariants of Birkhoff billiards under conjugacy
V. Kaloshin, C. E. Koudjinan
In the class of strictly convex smooth boundaries, each of which not having strip around its boundary foliated by invariant curves, we prove that the Taylor coefficients of the "no…
Marked Length Spectral determination of analytic chaotic billiards with axial symmetries
Jacopo De Simoi, Vadim Kaloshin, Martin Leguil
We consider billiards obtained by removing from the plane finitely many strictly convex analytic obstacles satisfying the non-eclipse condition. The restriction of the dynamics to…