Uniqueness for embeddings of nuclear C*-algebras into type II_1 factors
White, S
Hua, S
Advances in Mathematics
Fri, 15 May 2026
13:00
13:00
L4
Geometry and excluded-volume effects in particle systems
Maria Bruna
(Oxford University)
Abstract
I will discuss stochastic systems of interacting particles with non-overlapping constraints, which give rise to so-called excluded-volume interactions. The aim is to derive effective macroscopic equations governing the evolution of particle densities from the underlying microscopic dynamics. When particles possess nontrivial size or shape, geometric constraints become essential: they complicate the coarse-graining process and strongly influence the emergent behaviour of the system. I will present two representative examples, hard spheres and infinitely thin needles, highlighting how geometry enters the macroscopic description

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