In this article we review classical and recent results in anomalous diffusion and provide
mechanisms useful for the study of the fundamentals of certain processes, mainly in …

This paper reviews the history of the conformal extension of Galilean symmetry, now called
Schrödinger symmetry. In the physics literature, its discovery is commonly attributed to …

We provide a comprehensive report on scale-invariant fluctuations of growing interfaces in
liquid-crystal turbulence, for which we recently found evidence that they belong to the Kardar …

We examine height-height correlations in the transient growth regime of the 2+ 1 Kardar-
Parisi-Zhang (KPZ) universality class, with a particular focus on the {\it spatial covariance} of …

Scaling ideas and renormalization group approaches proved crucial for a deep
understanding and classification of critical phenomena in thermal equilibrium. Over the past …

We perform systematic Langevin molecular dynamics simulations of interacting skyrmions in
thin films. The interplay between the Magnus force, the repulsive skyrmion-skyrmion …

The current understanding of aging phenomena is mainly confined to the study of systems
with short-ranged interactions. Little is known about the aging of long-ranged systems. Here …

These lecture notes, adapted from the habilitation thesis of the author, survey in a first part
various exact results obtained in the past few decades about KPZ fluctuations in one …

Recently, very robust universal properties have been shown to arise in one-dimensional
growth processes with local stochastic rules, leading to the Kardar-Parisi-Zhang (KPZ) …

We propose a field-theoretic thermodynamic uncertainty relation as an extension of the one
derived so far for a Markovian dynamics on a discrete set of states and for overdamped …