arXiv:1408.0489 Abstract | arXiv Analytics

arXiv:1408.0489 [math.PR]Abstract References Reviews Resources

Derivation of the Stochastic Burgers equation from the WASEP

Published 2014-08-03Version 1

In these notes we give a simple proof of the second-order Boltzmann-Gibbs Principle, which is the main tool in order to prove that the equilibrium fluctuations of the WASEP are given, in the regime of the critical strength asymmetry, by the Stochastic Burgers equation.

Comments: 19 pages, 1 figure

Categories: math.PR

Keywords: stochastic burgers equation, derivation, second-order boltzmann-gibbs principle, simple proof, main tool

Related articles: Most relevant | Search more

arXiv:1701.07373 [math.PR] (Published 2017-01-25)

Probabilistic approach to the stochastic Burgers equation

Massimiliano Gubinelli, Nicolas Perkowski

arXiv:math/0610763 [math.PR] (Published 2006-10-25)

A simple proof of a recurrence theorem for random walks in $\Z^{2}$

Jean-Marc Derrien

arXiv:1603.08975 [math.PR] (Published 2016-03-29)

Convergence to the Stochastic Burgers Equation from a degenerate microscopic dynamics