- Lattice gases, large deviations, and the incompressible NavierStokes equations
- KdV PRESERVES WHITE NOISE JEREMY QUASTEL AND BENEDEK VALKO
- RELAXATION TO EQUILIBRIUM OF CONSERVATIVE DYNAMICS I : ZERO RANGE PROCESSES
- Free boundary problem and hydrodynamic limit Jeremy Quastel
- Stochastic Integrals (Wiener) If f nice, deterministic
- PROBLEMS (due Jan 27) 1. Let B(t), 0 t 1 be Brownian motion. Show that
- Di usion of Colour in the Simple Exclusion Process Jeremy Quastel
- Martingales: Discrete time Definition.
- Large deviations for the symmetric simple exclusion process in dimensions d 3
- Superdi usivity of asymmetric exclusion process in dimensions one and two
- FluctuationDissipation Equation and Incompressible NavierStokes Equations
- Brownian motion in Rd t , . . . , Bd
- Conditional Expectation Probability space (, F, P)
- Martingale Transform Mn martingale with respect to Fn, n = 0, 1, 2, . . . n Fn
- Diffusion Semigroups and Diffusion Processes Corresponding to Degenerate Divergence Form Operators
- () Stochastic Calculus January 7, 2009 1 / 22 () Stochastic Calculus January 7, 2009 2 / 22
- arXiv:math.PR/0607549v121Jul2006 X + Y 2X
- AN ANNIHILATING { BRANCHING PARTICLE MODEL FOR THE HEAT EQUATION WITH AVERAGE TEMPERATURE ZERO
- CENTRAL LIMIT THEOREM FOR ZERO-RANGE PROCESSES Jeremy Quastel 1 , Hanna Jankowski 2 , John Sheriff 2
- Superdiffusivity of Finite-Range Asymmetric Exclusion Processes on Z
- Doob's inequality Let X(t) be a right continuous submartingale with respect to F(t), t 0
- Stochastic Calculus () Stochastic Calculus January 13, 2009 1 / 21
- Martingale representation theorem = C[0, T], FT = smallest -field with respect to which Bs are all
- Stochastic differential equations (x, t), b(x, t) mble
- PROBLEMS (due Mar 17) 1. Let x = inf{t 0 : Bt x}. Prove that x is equal in distribution to
- PROBLEMS (due Mar 7) 1. The nth Hermite polynomial is Hn(t, x) = (-t)n
- Internal DLA in a Random Environment Gerard Ben Arous
- INTERNAL DLA AND THE STEFAN PROBLEM Janko Gravner y and Jeremy Quastel z
- "Economics has never been a science -and it is even less now than a few years ago." Paul Samuelson
- Exponential decay of entropy in the Random Transposition and Bernoulli-Laplace models
- RELAXATION TO EQUILIBRIUM OF CONSERVATIVE DYNAMICS I : ZERO RANGE PROCESSES
- Lattice gases, large deviations, and the incompressible Navier-Stokes equations
- Large deviations for the symmetric simple exclusion process in dimensions d 3
- Superdiffusivity of asymmetric exclusion process in dimensions one and two
- Free boundary problem and hydrodynamic limit Jeremy Quastel
- PROBLEMS (due Feb 24) 1. Let B(t) be Brownian motion. Prove that X =
- FLUCTUATIONS OF THE FRONT IN A STOCHASTIC COMBUSTION MODEL
- Time reversal of degenerate di usions Jeremy Quastel
- Exponential decay of entropy in the Random Transposition and Bernoulli-Laplace models
- INTERNAL DLA AND THE STEFAN PROBLEM Janko Gravnery and Jeremy Quastelz
- CENTRAL LIMIT THEOREM FOR ZERO-RANGE PROCESSES Jeremy Quastel1, Hanna Jankowski2, John Sheriff2
- Internal DLA in a Random Environment Gerard Ben Arous
- Jeremy Quastel and Horng-Tzer Yau 1
- Time reversal of degenerate diffusions Jeremy Quastel
- Diffusion of Colour in the Simple Exclusion Process Jeremy Quastel
- Large Deviations from a Hydrodynamic Scaling Limit for a Nongradient System
- Diffusion Semigroups and Diffusion Processes Corresponding to Degenerate Divergence Form Operators
- Fluctuation-Dissipation Equation and Incompressible Navier-Stokes Equations
