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The Superconcentration Phenomenon

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Math 790 (Graduate minicourse): The Superconcentration Phenomenon, Spring 2026 Instructor: Nicholas Cook WF 1:25--2:40, Feb 11--Mar 06, Physics 119 The concentration of measure phenomenon is a central concept in probability and high-dimensional geometry, with countless applications since it was first appreciated in the 70s. More recently it has been appreciated that certain important random processes concentrate at a scale significantly smaller than the (already surprisingly small) scale provided by "off-the-shelf" concentration inequalities. Examples include random variables associated…

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