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Explore recent advancements in anomalous heat diffusion in low-dimensional classical anharmonic lattices during this 42-minute conference talk. Delve into models with three conservation laws belonging to the Kardar-Parisi-Zhang equation universality class. Examine recent developments on perturbed integrable systems and the impact of long-range forces. Gain insights into the general theory of nonequilibrium steady states and its applications to nanoscale heat transfer. This presentation, part of the Thematic Programme on "Large Deviations, Extremes and Anomalous Transport in Non-equilibrium Systems" at the Erwin Schrödinger International Institute for Mathematics and Physics, offers a comprehensive survey of current research in this field.
