Odeljenje za matematiku, 1. mart 2019.

Naredni sastanak Seminara biće održan u petak, 1. marta 2019, u sali 301f Matematičkog instituta SANU sa početkom u 14:15.

Predavač: Hakan Hedenmalm, Royal Institute of Technology, Stockholm

Naslov predavanja: PLANAR ORTHOGONAL POLYNOMIALS AND RELATED DETERMINANTAL PROCESSES: RANDOM NORMAL MATRICES AND ARITHMETIC JELLIUM

Apstrakt: We obtain a new asymptotic expansion of planar orthogonal polynomials with respect to exponentially varying weights. This goes beyond classical contributions by Carleman and Suetin. We apply the results to get the spectral boundary behavior of the eigenvalues of random normal matrices. We also introduce a new process: arithmetic jellium.



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