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

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University of Toronto, Department of Mathematics
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Biography

Khanin’s research covers a broad range of topics, and his academic career is similarly extensive having held positions around the globe. He completed his PhD in Mathematical Physics from the L.D. Landau Institute for Theoretical Physics in Moscow, where he served as a Research Associate until 1994. He held visiting appointments at a range of institutes in various countries including Italy, Switzerland, the US, Israel, France and Japan. After serving in academic positions at Princeton University, the Isaac Newton Institute for Mathematical Sciences at the University of Cambridge, and the Heriot-Watt University in Edinburgh, Khanin joined U of T Mississauga in 2005. He was the Chair of MCS from 2008-13. His research interests currently include dynamical systems, probability theory, statistical mechanics, turbulence theory and mathematical physics.

Industry Applications

Education/Learning

Research

Research Interests

Dynamical Systems

Ergodic Theory

Probability Theory

Statistical Mechanics

Turbulence Theory

Mathematical Physics

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 Analysis

2016

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 Probability

2014

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 Physics

2013

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.

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