Student Probability Seminar

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Asymptotic topological statistics of Gaussian random zero sets

Speaker: Zhengjiang Lin, NYU Courant

Location: Warren Weaver Hall WWH 202

Date: Wednesday, March 6, 2024, 12:30 p.m.

Synopsis:

We will briefly discuss some asymptotic topological statistics of Gaussian random zero sets, which include a random distribution on knots as a special case. We will also discuss some results on zero sets of random Laplacian eigenfunctions, which are related to Courant’s nodal domain theorem and Milnor-Thom’s theorem on Betti numbers of real algebraic varieties.