65 citations · 222 across the 15 of their papers we have counts for
4 papers · 1 filter
Tilted elastic lines with columnar and point disorder, non-Hermitian quantum mechanics and spiked random matrices: pinning and localization
Alexandre Krajenbrink, Pierre Le Doussal, Neil O'Connell
We revisit the problem of an elastic line (e.g. a vortex line in a superconductor) subject to both columnar disorder and point disorder in dimension . Upon applying a transv…
From Painlevé to Zakharov-Shabat and beyond: Fredholm determinants and integro-differential hierarchies
Alexandre Krajenbrink
As Fredholm determinants are more and more frequent in the context of stochastic integrability, we unveil the existence of a common framework in many integrable systems where they…
Half-space stationary Kardar-Parisi-Zhang equation
Guillaume Barraquand, Alexandre Krajenbrink, Pierre Le Doussal
We study the solution of the Kardar-Parisi-Zhang (KPZ) equation for the stochastic growth of an interface of height on the positive half line, equivalently the free energy…
From stochastic spin chains to quantum Kardar-Parisi-Zhang dynamics
Tony Jin, Alexandre Krajenbrink, Denis Bernard
We introduce the asymmetric extension of the Quantum Symmetric Simple Exclusion Process which is a stochastic model of fermions on a lattice hopping with random amplitudes. In this…