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Mathematical Physics Seminar

Hugo Duminil-Copin - A new way of looking at high-dimensional lattice models

Location:  Zoom
Date & time: Wednesday, 24 January 2024 at 10:45AM - 11:45AM

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MATHEMATICAL PHYSICS WEBINAR
RUTGERS UNIVERSITY

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Hugo Duminil-Copin – University of Geneva and IHES

Wednesday, January 24th, 10:45AM EST (Zoom meeting starts at 10:30 EDT) 

A new way of looking at high-dimensional lattice models

Embarking on an exploration of high-dimensional lattice models, this presentation delves into contemporary advancements within the realm of percolation, self-avoiding walks, the Ising model, and the XY model. Our approach diverges from traditional lace-expansion and renormalization techniques, opting for an innovative perspective that elucidates mean-field behavior. The crux of our methodology lies in an examination of the random-walk representation inherent in these intricate models. 

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