Speaker
Description
Many physical systems admit configurations that can be described in terms of clusters, fragments, or components of different sizes. This naturally leads to the mathematics of integer partitions and to probabilistic questions concerning how such partitions are distributed and evolve. In this talk, I will discuss a framework based on random partitions, permutation cycles, urn models, and stochastic processes, and explore how these mathematical tools can provide a common language for apparently different physical systems. These range from high-energy theory, where multiparticle configurations can be organized statistically in terms of partitions and clusters, to nuclear fragmentation, where integer partitions, permutation cycles, and canonical cluster distributions have long provided useful descriptions of fragment configurations. The aim of the talk is to highlight the close mathematical parallels between these settings, which suggest opportunities for transferring methods between high-energy and few-body physics, and to identify possible directions in which stochastic partition methods may contribute to the study of cluster formation, fragmentation, and their statistical evolution.