Ke Zhang

activity

20072023

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

53 citations · 275 across the 20 of their papers we have counts for

collaborators

Showing 2012Show all

3 papers · 1 filter

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★ 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…

math.DS2012

Hyperbolicity of minimizers and regularity of viscosity solutions for random Hamilton-Jacobi equations

Konstantin Khanin, Ke Zhang

We show that for a family of randomly kicked Hamilton-Jacobi equations, the unique global minimizer is hyperbolic, almost surely. Furthermore, we prove the unique forward and backw…