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Explore a 57-minute conference talk on rotationally invariant first passage percolation in the plane. Delve into the challenges of analyzing first passage percolation due to the lack of an integrable structure, despite its believed association with the KPZ universality class. Learn about the multi-scale argument used to establish concentration of passage times at the standard deviation scale. Discover the proven version of scaling relations between passage times fluctuation and transversal fluctuations of geodesics. Examine the chaotic behavior of geodesics on every scale, which provides the first improvement on the Benjamini, Kalai, and Schramm variance bound. Gain insights into this complex topic presented by Allan Sly at the ICBS2024 conference, hosted by BIMSA.
