P
Pierre Le Doussal
Researcher at École Normale Supérieure
Publications - 331
Citations - 11408
Pierre Le Doussal is an academic researcher from École Normale Supérieure. The author has contributed to research in topics: Brownian motion & Random walk. The author has an hindex of 48, co-authored 313 publications receiving 10154 citations. Previous affiliations of Pierre Le Doussal include Institute for Advanced Study & University of California, Santa Barbara.
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Replica Bethe Ansatz solution to the Kardar-Parisi-Zhang equation on the half-line
TL;DR: In this article, the authors considered the Kardar-Parisi-Zhang (KPZ) equation for the stochastic growth of an interface of height $h(x,t)$ on the positive half line with boundary condition, and obtained the GOE Tracy-Widom distribution.
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Disordered free fermions and the Cardy-Ostlund fixed line at low temperature
Pierre Le Doussal,Grégory Schehr +1 more
TL;DR: Using a functional renormalization group (RG) method, the authors reexamine the glass phase of the two-dimensional random-field sine Gordon model, which is described by a line of fixed points with a super-roughening amplitude.
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Spatial Clustering of Depinning Avalanches in Presence of Long-Range Interactions.
TL;DR: This Letter determines the scaling properties of the clusters and relates them to the roughness exponent of the interface and identifies a Bienaymé-Galton-Watson process describing the statistics of the number of clusters.
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Noninteracting fermions in a trap and random matrix theory
TL;DR: In this article, the authors discuss the principal edge universality classes of trapped fermions in the presence of a large number of trapped Fermions, and show that the soft edge and hard edge classes are in one-to-one correspondence with the standard universal classes found in the classical unitary random matrix ensembles.
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Super-rough glassy phase of the random field XY model in two dimensions.
TL;DR: The disorder-induced glass phase of the two-dimensional XY model with quenched random symmetry-breaking fields and without vortices is studied and the universal amplitude A(τ) is predicted, which results from nontrivial cancellations between nonuniversal constants of RG equations.