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math.PR2019★ 7 cited
The Derrida--Retaux conjecture on recursive models
Xinxing Chen, Victor Dagard, Bernard Derrida +3
We are interested in the nearly supercritical regime in a family of max-type recursive models studied by Collet, Eckman, Glaser and Martin and by Derrida and Retaux, and prove that…
cond-mat.stat-mech2019★ 46 cited
Large deviations conditioned on large deviations II: Fluctuating hydrodynamics
Bernard Derrida, Tridib Sadhu
For diffusive many-particle systems such as the SSEP (symmetric simple exclusion process) or independent particles coupled with reservoirs at the boundaries, we analyze the density…