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UID:6883@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20191209T100000
DTEND;TZID=Europe/Paris:20191209T110000
DTSTAMP:20241120T202616Z
URL:https://www.i2m.univ-amu.fr/evenements/fluctuations-for-zeros-of-gauss
 ian-entire-functions/
SUMMARY:Avner Kiro (Weizmann Institute of Science\, Tel Aviv University\, I
 srael): Fluctuations for zeros of Gaussian entire functions
DESCRIPTION:Avner Kiro: We study fluctuations in the number of zeros of ran
 dom analytic functions given by a Taylor series whose coefficients are ind
 ependent complex Gaussians. When the functions are entire\, we find sharp 
 bounds for the asymptotic growth rate of the variance of the number of zer
 os in large disks centered at the origin. To obtain a result that holds un
 der no assumptions on the variance of the Taylor coefficients we employ th
 e Wiman-Valiron theory. We demonstrate the sharpness of our bounds by stud
 ying well-behaved covariance kernels\, which we call admissible (after Hay
 man).\nhttps://arxiv.org/abs/1911.13051\n\n\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Avner_Kiro.jpg
CATEGORIES:Séminaire,Analyse et Géométrie
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DTSTART:20191027T020000
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