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FIELD
Math:Analysis
DATE
Mar 08 (Fri), 2024
TIME
16:00 ~ 17:30
PLACE
1423
SPEAKER
Byun, Sungsoo
HOST
Kang, Nam-Gyu
INSTITUTE
서울대학교
TITLE
Free energy expansions of a conditional GINUE and large deviations of the smallest eigenvalue of the LUE
ABSTRACT
In this talk, I will present the free energy expansion of a conditional Ginibre ensemble, which provides the first non-radially symmetric example confirming the Zabrodin-Wiegmann conjecture. After introducing our results from the viewpoint of moments of the characteristic polynomial, I will discuss our findings in the context of the large deviation probabilities of the smallest eigenvalue of the Laguerre unitary ensemble. This talk is based on joint work with Seong-Mi Seo and Meng Yang.
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