The renormalization group plays an essential role in many areas of physics, both
conceptually and as a practical tool to determine the long-distance low-energy properties of …

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 …

We give in these notes a short presentation of both the main ideas underlying Wilson's
renormalization group (RG) and their concrete implementation under the form of what is now …

By the Parisi-Sourlas conjecture, the critical point of a theory with random field (RF) disorder
is described by a supersymmeric (SUSY) conformal field theory (CFT), related to ad-2 …

We analyze the renormalization group (RG) flows of two effective Lagrangians, one for
measurement-induced transitions of monitored quantum systems and one for entanglement …

We review how the renormalized force correlator Δ (u), the function computed in the
functional renormalization-group (RG) field theory, can be measured directly in numerics …

Interfaces pinned by quenched disorder are often used to model jerky self-organized critical
motion. We study static avalanches, or shocks, defined here as jumps between distinct …

We study elastic systems, such as interfaces or lattices, pinned by quenched disorder. To
escape triviality as a result of “dimensional reduction,” we use the functional renormalization …

We review the theoretical description of the random field Ising and O (N) models obtained
from the functional renormalization group, either in its nonperturbative implementation or, in …

This is a review article of our work on hysteresis, avalanches, and criticality. We provide an
extensive introduction to scaling and renormalization--group ideas, and discuss analytical …