Fraydoun Rezakhanlou

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  • Fall 2012: Math 219, Dynamical Systems

  • Fall 2015: Math 242, Symplectic Geometry

  • Recent papers:

    Optimal Transport Problems For Contact Structures .

    The Poincare--Birkhoff Theorem in random dynamics.

    Regular Flows for Diffusions with Rough Drifts .

    Scalar conservation laws with monotone pure-jump Markov initial conditions. Probab. Theory and Related Fields.

    Stochastically Symplectic Maps and Their Applications to Navier-Stokes Equation . Ann. Inst. H. Poincare Probab. Statist. (Published online September 19-2014)

    Pointwise Bounds for the Solutions of the Smoluchowski Equation with Diffusion,. Arch. Rational Mech. Anal. 212, 1011{1035 (2014).

    Gelation for Marcus-Lushnikov Process. This paper (without Section 5) appeared in Annals of Probability, Volume 41, 1806-1830 (2013).

    Moment Bounds for the Solutions of the Smoluchowski Equation with Coagulation and Fragmentation, Proceedings of the Royal Society of Edinburgh, Volume 140A, 1041-1059 (2010)

    A Prelude to the Theory of Random Walks in Random Environments, Bulletin of IMS, Volume 37, No. 2, 5-20 (2011).

    Equilibrium Fluctuations for a Model of Coagulating-Fragmenting planar Brownian Particles, Commun. Math. Phys. Volume 296, 769-826, (2010)

    Coagulation, Diffusion and the Continuous Smoluchowski Equation, Stochastic Process. Appl. Volume 119, 3042-3080 , (2009)

    Moment bounds for the Smoluchowski equation and their consequences, Commun. Math. Phys. Volume 276, 645-670, (2007)

    Lecture notes:

    Lectures on Symplectic Geometry. Notes for an advanced graduate course on ''Symplectic Geometry''

    Lectures on Dynamical Systems, part I , part II . Notes for an advanced graduate course on "Dynamical Systems".

    Lectures on Random Matrices.

    Lectures on Large Deviation Principle.


    Equilibrium Fluctuations for Coagulating-Fragmenting Brownian Particles.

    Coagulating Brownian Particles, Gelation and Smoluchowski Equation