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Log Gases and Gaudin's Awesome Lemma

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If you have a question about this talk, please contact Lisa Maria Kreusser.

This talk will be an introduction to determinantal point processes—-statistical systems of many particles whose $k$-point correlation functions are given as the determinant of a $k\times k$ matrix for each $k$. Such systems arise in the study of log gases at algebraically special temperatures. Highlights of this talk include the use of Hermite polynomials and a proof of Gaudin’s Awesome Lemma.

This talk is part of the Cambridge Analysts' Knowledge Exchange series.

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