V. Kaloshin

activity

19992026

most citedArnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders

53 citations · 284 across the 40 of their papers we have counts for

collaborators

Showing 2012 · math.DSShow all

3 papers · 2 filters

math.DS2012★ 11 cited

A strong form of Arnold diffusion for two and a half degrees of freedom

Vadim Kaloshin, Ke Zhang

In the present paper we prove a strong form of Arnold diffusion. Let $T^{2}$ be the two torus and $B^{2}$ be the unit ball around the origin in $R^{2}$ . Fix $ρ > 0$ . Our…

math.DS2012★ 5 cited

On conjugacy of convex billiards

Vadim Kaloshin, Alfonso Sorrentino

Given a strictly convex domain $Ω$ in $R^{2}$ , there is a natural way to define a billiard map in it: a rectilinear path hitting the boundary reflects so that the angle of reflectio…

math.DS2012★ 11 cited

Normally hyperbolic invariant manifolds near strong double resonance

Vadim Kaloshin, Ke Zhang

In the present paper we consider a generic perturbation of a nearly integrable system of $n$ and a half degrees of freedom $H_{ε} (θ, p, t) = H_{0} (p) + ε H_{1} (θ, p, t)$ , with a strictly convex…