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Abstract:
The occurrence of "infinite loops" in the probabilistic description of the Bose gas has been the subject of intense research. In this talk we motivate the Bose gas from a quantum mechanical/functional analytic description and introduce its probabilistic representation as a loop soup. We show how random interlacements naturally arise from the finite volume representation in certain regimes. No prior knowledge of the Bose gas nor loop soups is required.
Biography:
Prior to joining NYU Shanghai as a Faculty Fellow of Mathematics in 2020, Quirin completed his PhD at the University of Warwick. His research interests include but are not limited to: loop soups/percolation, random walks, lattice field and interacting particle systems.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai