Statistical Physics & Out-of-Equilibrium Mechanics
We study the macroscopic behavior of physical systems starting from their microscopic stochastic dynamics. A major focus is placed on non-equilibrium stationary states, transport phenomena, and the derivation of hydrodynamic equations.
Statistical Analysis of Structured Data
Our work focuses on the statistical study of data originating both from theoretical domains—such as sequences of interest in number theory—and from real‑world contexts, including clinically and biologically derived sequences. We employ classical tools from inferential statistics as well as models more directly inspired by statistical‑mechanical modeling.
Interacting Particle Systems & Random Graphs
Our group investigates the collective behavior of large systems of components interacting locally. This includes the study of scaling limits, duality properties, and the behavior of stochastic processes propagating through complex networks and random environments.
Integrable Systems & Algebraic Methods
We explore the analytic structures underlying exactly solvable models, utilizing tools from representation theory, quantum groups, and the Bethe ansatz. We further develop these methods in connection with fundamental topics in representation theory, including Baxter Q-operators, shifted Yangians, and snake modules.