Abstract Domain walls in magnets, vortex lattices in superconductors, contact lines at
depinning, and many other systems can be modeled as an elastic system subject to …

Classical hydrodynamics is a remarkably versatile description of the coarse-grained
behaviour of many-particle systems once local equilibrium has been established. The form …

Abstract The Kardar–Parisi–Zhang (KPZ) universality class describes a broad range of non-
equilibrium fluctuations, including those of growing interfaces, directed polymers and …

The Anderson transition in random graphs has raised great interest, partly out of the hope
that its analogy with the many-body localization (MBL) transition might lead to a better …

We study the directed polymer of length t in a random potential with fixed endpoints in
dimension 1+ 1 in the continuum and on the square lattice, by analytical and numerical …

We study the Anderson transition on a generic model of random graphs with a tunable
branching parameter 1< K< 2, through large scale numerical simulations and finite-size …

We present a full description of the nonergodic properties of wave functions on random
graphs without boundary in the localized and critical regimes of the Anderson transition. We …

In this paper we analyze the predictions of the forward approximation in some models which
exhibit an Anderson (single-body) or many-body localized phase. This approximation, which …

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 initial …

We study the directed polymer with fixed endpoints near an absorbing wall, in the continuum
and in the presence of disorder, equivalent to the KPZ equation on the half-space with …