404 citations · 987 across the 26 of their papers we have counts for
28 papers
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…
Point Fields of Last Passage Percolation and Coalescing Fractional Brownian Motions
Konstantin Khanin, Liying Li, Zhanghan Yin
We consider large-scale point fields which naturally appear in the context of the Kardar-Parisi-Zhang (KPZ) phenomenon. Such point fields are geometrical objects formed by points o…
On asymptotic behavior of iterates of piecewise constant monotone maps
Konstantin Khanin, Liying Li
In this paper we study the rate of convergence of the iterates of \iid random piecewise constant monotone maps to the time- transport map for the process of coalescing Brownian…
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.…