Events
Pierre-François Rodriguez (ICL): Loop soups in 2 + epsilon dimensions
Centre for Probability, Statistics and Data ScienceDate: 18 February 2026 Time: 13:00 - 14:00
Location: SM, MB 503
Abstract: the talk will be about a natural percolation model built from the so-called Brownian loop soup. We will give sense to studying it 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.
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