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Explore the mathematical phenomenon of entropic repulsion in the discrete vector-valued 2D Gaussian Free Field through this 37-minute conference talk. Discover the connection between spin O(N) models at low temperature and the behavior of Gaussian Free Fields conditioned to avoid an N-dimensional ball. Focus on the specific case where spin dimension N = 1, examining how entropic repulsion emerges alongside an ordering of the signs in the conditioned field. Learn about the theoretical framework connecting these mathematical objects and gain insights into the proof techniques used to establish this behavior. The presentation covers joint research work with A. Sepúlveda, providing a rigorous mathematical exploration of this advanced topic in probability theory and statistical mechanics.
