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Explores the geometry and statistical properties of dispersing billiards, aiming to extend the analysis to equilibrium states and covering topics like hyperbolicity and distortion control.
Covers multivariable integral calculus, including rectangular cuboids, subdivisions, Douboux sums, Fubini's Theorem, and integration over bounded sets.
Covers the proof of the Bourgain's ARV Theorem, focusing on the finite set of points in a semi-metric space and the application of the ARV algorithm to find the sparsest cut in a graph.
