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Overcrowding Estimates for the Coulomb Gas

Mathphys Analysis Seminar

Date: Thursday, February 2, 2023 17:15 - 18:15
Speaker: Eric Thoma (CIMS, NYU)
Location: Mondi 2, I01.01.008, Central Building
Series: Mathematics and CS Seminar
Host: Laszlo Erdös
Contact: Birgit Oosthuizen-Noczil
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The Coulomb gas is a model of statistical physics appearing in a wide variety of contexts, from approximation theory to condensed matter physics. This talk will address several recent results, including optimal Wegner estimates, the size of the minimal inter-particle distance, and incompressibility on large microscopic scales, which all share one unifying and intuitive idea. We will also discuss an application to the fractional quantum Hall effect.

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