Loop soups in 2 + epsilon dimensions
Abstract
The talk will be about a natural percolation model built from the so-called Brownian loop soup. We will give sense to studying its phase transition in dimension d = 2 + epsilon, with epsilon varying in [0,1], and discuss how to perform a rigorous „epsilon-expansion“ in this context. Our methods give access to a whole family of universality classes, and elucidate the behaviour of critical exponents etc. near the (lower-)critical dimension, which for this model is d=2.
Based on joint work with Wen Zhang.
12:45
Positive Geometry and Canonical Forms
Abstract
A funded PhD position is available at University College Dublin, for the project "Individual bovine variation in the transmission and disease of Mycobacterium bovis" starting in September 2026.
The project is supervised by Dr Miriam Casey (School of Veterinary Medicine) and Dr Michael Fop (School of Mathematics and Statistics).