404 citations · 406 across the 4 of their papers we have counts for
4 papers
Perfect Retroreflectors and Billiard Dynamics
Pavel Bachurin, Konstantin Khanin, Jens Marklof +1
We construct semi-infinite billiard domains which reverse the direction of most incoming particles. We prove that almost all particles will leave the open billiard domain after a f…
Localization and Perron--Frobenius theory for directed polymers
Yuri Bakhtin, Konstantin Khanin
We consider directed polymers in a random potential given by a deterministic profile with a strong maximum at the origin taken with random sign at each integer time. We study two m…
Burgers Turbulence
Jeremie Bec, Konstantin Khanin
The last decades witnessed a renewal of interest in the Burgers equation. Much activities focused on extensions of the original one-dimensional pressureless model introduced in the…
A blow-up phenomenon in the Hamilton-Jacobi equation in an unbounded domain
Konstantin Khanin, Dmitry Khmelev, Andrei Sobolevskii
We construct an example of blow-up in a flow of min-plus linear operators arising as solution operators for a Hamilton-Jacobi equation with a Hamiltonian of the form |p|^alpha+U(x,…