65 citations · 711 across the 31 of their papers we have counts for
5 papers · 1 filter
Linear statistics and pushed Coulomb gas at the edge of beta random matrices: four paths to large deviations
Alexandre Krajenbrink, Pierre Le Doussal
The Airy point process, , describes the eigenvalues at the edge of the Gaussian ensembles of random matrices for large matrix size $N \to…
Systematic time expansion for the Kardar-Parisi-Zhang equation, linear statistics of the GUE at the edge and trapped fermions
Alexandre Krajenbrink, Pierre Le Doussal, Sylvain Prolhac
We present a systematic short time expansion for the generating function of the one point height probability distribution for the KPZ equation with droplet initial condition, which…
Large fluctuations of the KPZ equation in a half-space
Alexandre Krajenbrink, Pierre Le Doussal
We investigate the short-time regime of the KPZ equation in dimensions and develop a unifying method to obtain the height distribution in this regime, valid whenever an exact…
Coulomb-gas electrostatics controls large fluctuations of the KPZ equation
Ivan Corwin, Promit Ghosal, Alexandre Krajenbrink +2
We establish a large deviation principle for the Kardar-Parisi-Zhang (KPZ) equation, providing precise control over the left tail of the height distribution for narrow wedge initia…
Simple derivation of the tail for the 1D KPZ equation
Alexandre Krajenbrink, Pierre Le Doussal
We study the long-time regime of the Kardar-Parisi-Zhang (KPZ) equation in dimensions for the Brownian and droplet initial conditions and present a simple derivation of the t…