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Explore large deviation theory applied to the XXX spin chain in this 49-minute conference talk delivered at the International Centre for Theoretical Sciences. Delve into the mathematical framework of large deviations as it relates to quantum spin systems, specifically examining the XXX model and its statistical properties. Learn about the theoretical foundations and applications of large deviation principles in the context of quantum many-body systems, with particular focus on how these concepts illuminate the behavior of spin chains under various conditions. Gain insights into the intersection of statistical mechanics, quantum physics, and probability theory through the lens of this important integrable model. This presentation forms part of a comprehensive program on "Hydrodynamics, Fluctuations, and Noise in quantum and classical systems" that brings together researchers from classical statistical physics, quantum many-body theory, and string theory to explore nonequilibrium thermodynamics and transport phenomena.
