Optimal Transport Problems For Contact Structures .
Scalar conservation laws with monotone pure-jump Markov initial conditions.
Regular Flows for Diffusions with Rough Drifts .
Stochastically Symplectic Maps and Their Applications to Navier-Stokes Equation .
The Poincare--Birkhoff Theorem in random dynamics.
Pointwise Bounds for the Solutions of the Smoluchowski Equation with Diffusion,. to appear in Arch. Rational Mech. Anal.
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)
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. Notes for Math C223A or Stat 206A
Equilibrium Fluctuations for Coagulating-Fragmenting Brownian Particles.
Coagulating Brownian Particles, Gelation and Smoluchowski Equation