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Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2015

An extension of the Derrida–Lebowitz–Speer–Spohn equation

Résumé

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.

Dates et versions

hal-01972825 , version 1 (07-01-2019)

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Charles Bordenave, Pierre Germain, Thomas Trogdon. An extension of the Derrida–Lebowitz–Speer–Spohn equation. Journal of Physics A: Mathematical and Theoretical, 2015, 48 (48), pp.485205. ⟨10.1088/1751-8113/48/48/485205⟩. ⟨hal-01972825⟩
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