%0 Journal Article
%T An extension of the Derrida-Lebowitz-Speer-Spohn equation
%A Charles Bordenave
%A Pierre Germain
%A Thomas Trogdon
%J Physics
%D 2014
%I arXiv
%X Derrida, Lebowitz, Speer and Spohn have proposed a simplified model to describe the low temperature Glauber dynamics of an anchored Toom interface. We show how the derivation of the Derrida-Lebowitz-Speer-Spohn equation can be prolonged to obtain a new equation, generalizing the models obtained in the paper by these authors. We then investigate its properties from both an analytical and numerical perspective. Specifically, a numerical method is presented to approximate solutions of the prolonged equation. Using this method, we investigate the relationship between the solutions of the prolonged equation and the Tracy--Widom GOE distribution.
%U http://arxiv.org/abs/1402.6620v2