Anomalous Dynamical Scaling Determines Universal Critical Singularities

Explore anomalous diffusion phenomena across various length scales in this 36-minute conference talk by Gianluca Teza. Delve into the specific decay form of the probability density function for rescaled displacement and its implications for universal singularities in the normalized cumulant generator. Examine paradigmatic examples from continuous time random walks, drawing connections to second-order phase transition singularities. Investigate the biased case, where scaling is limited to displacements in the drift direction and singularities lack equilibrium analogues. Learn about the research presented in the referenced arXiv preprint, which was part of the Thematic Programme on "Large Deviations, Extremes and Anomalous Transport in Non-equilibrium Systems" held at the Erwin Schrödinger International Institute for Mathematics and Physics.