404 citations · 987 across the 26 of their papers we have counts for
10 papers · 1 filter
Circle homeomorphisms with breaks with no conjugacy
Nataliya Goncharuk, Konstantin Khanin, Yury Kudryashov
The rigidity theory for circle homeomophisms with breaks was studied intensively in the last 20 years. It was proved that under mild conditions of the Diophantine type on the rotat…
Rigidity for circle diffeomorphisms with breaks satisfying a Zygmund smoothness condition
H. A. Akhadkulov, A. A. Dzhalilov, K. M. Khanin
Let and be two circle diffeomorphisms with a break point, with the same irrational rotation number of bounded type, the same size of the break and satisfying a…
Uniform exponential contraction for viscous Hamilton-Jacobi equations
Konstantin Khanin, Ke Zhang, Lei Zhang
The well known phenomenon of exponential contraction for solutions to the viscous Hamilton-Jacobi equation in the space-periodic setting is based on the Markov mechanism. However,…
Invariant graphs and spectral type of Schrödinger operators
Artur Avila, Konstantin Khanin, Martin Leguil
In this paper we study spectral properties of Schrödinger operators with quasi-periodic potentials related to quasi-periodic action minimizing trajectories for analytic twist maps.…
The symplectic structure of renormalisation of circle diffeomorphisms with breaks
Selim Ghazouani, Konstantin Khanin
In this article we prove that iterated renormalisations of circle diffeomorphisms with breaks, , with given size of breaks, converge to an invariant family…
Exponential convergence of solutions for random Hamilton-Jacobi equations
Renato Iturriaga, Konstantin Khanin, Ke Zhang
We show that for a family of randomly kicked Hamiton-Jacobi equations on the torus, almost surely, the solution of an initial value problem converges exponentially fast to the uniq…