2027

Recent trends at the interface between information theory, probability, statistics and high-dimensional geometry raise new questions on the role and importance of entropy in the understanding of both asymptotic and finite range phenomena, in particular towards discrete structures and applications to areas such as quantum information, percolation and random matrices. Recent fruitful developments warrant imminent blossom of new ideas and results in this area in the near future.

The program centers on the development of a unified understanding of kinetic theory in systems with long‑range interactions, with a particular emphasis on the quantum regime. Long‑range interacting quantum systems—realized experimentally in cold atoms, trapped ions, and polar molecules—exhibit rich dynamical behavior such as metastability, collisionless dynamics, anomalous transport, critical scaling, and turbulence‑like phenomena.