# Fraydoun Rezakhanlou

**Email address:** rezakhan@math.berkeley.edu

**Postal Address:**
- Department of Mathematics
- University of California
- Berkeley, CA, 94720-3840

### Teaching:

Fall 2012: Math 219, Dynamical Systems

### Recent papers:

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)

### 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. Notes for Math C223A or Stat 206A

### Slides:

Equilibrium Fluctuations for Coagulating-Fragmenting Brownian Particles.

Coagulating Brownian Particles, Gelation and Smoluchowski Equation