
Konstantin Khanin
Professor University of Toronto, Department of Mathematics
- Toronto ON
Konstantin Khanin's research interests currently include dynamical systems, statistical mechanics, turbulence, and mathematical physics

University of Toronto, Department of Mathematics
View more experts managed by University of Toronto, Department of Mathematics
Biography
Industry Applications
Research Interests
Accomplishments
Research Excellence Award
2014
Awarded by the University of Toronto, recognizing extensiveness and influence in research.
Education
L.D. Landau Institute for Theoretical Physics
Ph.D.
Mathematical Physics
Media Appearances
“Unsung heroes” and others honoured at annual awards ceremony
The Medium
2014-11-24
Professor Konstantin Khanin of the math department received the Research Excellence Award, recognizing extensiveness and influence ...
Abel Prize winner Yakov Sinai: a lifetime of artful mathematics
The Princetonian
2014-04-09
“I was very happy that he was elected now and that justice has been done, because in my mind he definitely belongs to this category,” University of Toronto professor Konstantin Khanin said ...
Articles
On Dynamics of Lagrangian Trajectories for Hamilton–Jacobi Equations
Archive for Rational Mechanics and Analysis2016
Characteristic curves of a Hamilton–Jacobi equation can be seen as action minimizing trajectories of fluid particles. However this description is valid only for smooth solutions. For nonsmooth “viscosity” solutions, which give rise to discontinuous velocity fields, this picture holds only up to the moment when trajectories hit a shock and cease to minimize the Lagrangian action.
The intermediate disorder regime for directed polymers in dimension 1 + 1
The Annals of Probability2014
We introduce a new disorder regime for directed polymers in dimension 1+11+1 that sits between the weak and strong disorder regimes. We call it the intermediate disorder regime.
The Continuum Directed Random Polymer
Journal of Statistical Physics2013
Motivated by discrete directed polymers in one space and one time dimension, we construct a continuum directed random polymer that is modeled by a continuous path interacting with a space-time white noise.
Space-time stationary solutions for the Burgers equation
Journal of the American Mathematical Society2013
We construct space-time stationary solutions of the D Burgers equation with random forcing in the absence of periodicity or any other compactness assumptions. More precisely, for the forcing given by a homogeneous Poisson point field in space-time we prove that there is a unique global solution with any prescribed average velocity.
Ergodic Properties of Random Billiards Driven by Thermostats
Communications in Mathematical Physics2013
We consider a class of mechanical particle systems interacting with thermostats. Particles move freely between collisions with disk-shaped thermostats arranged periodically on the torus.