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In this paper we prove the convergence to the stochastic Burgers equation from one-dimensional interacting particle systems, whose dynamics allow the degeneracy of the jump rates.
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Gonçalves, P., Jara, M. and Sethuraman, S.: A stochastic Burgers equation from a class of microscopic interactions , Ann. Probab, Volume 43, Issue 1, 286–338 (2015)
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Franco, T., Gonçalves, P. and Simon, M.: Crossover to the stochastic Burgers equation for the WASEP with a slow bond , Communications in Mathematical Physics 346
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Hairer, M.: Solving the KPZ equation , Annals of Maths 178
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Gonçalves, P. and Jara, M.: Nonlinear fluctuations of weakly asymmetric interacting particle systems . Archive for Rational Mechanics and Analysis, Volume 212, Issue 2, 597–644 (2014)
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