BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Alon Nishry (Tel-Aviv University\, Israel) DTSTART:20210201T090000Z DTEND:20210201T094500Z DTSTAMP:20260421T173832Z UID:BPS/19 DESCRIPTION:Title: Gau ssian complex zeros: conditional distribution on rare events\nby Alon Nishry (Tel-Aviv University\, Israel) as part of Bangalore Probability Sem inar\n\n\nAbstract\nThe zero process of the Gaussian Entire Function is a natural example of a two-dimensional random point configuration whose dist ribution is invariant under rigid motions of the plane. Another well-studi ed example is the infinite Ginibre ensemble. Due to non-trivial correlatio ns\, the features of these two processes are quite different from the ones of the homogeneous Poisson point process. For this reason\, these process es are of interest to analysts\, probabilists\, and mathematical physicist s.\n\nSome particularly interesting statistical phenomena to study are rar e events\, when the number of points in a certain large domain is very dif ferent from its expected value. An important example is the ‘hole event ’\, when there are no points at all. For the Ginibre ensemble\, the hole event can be studied using some classical tools from potential theory. Th is is no longer true for complex zeros\, and in this talk I will mention s ome of the challenges and describe new results.\n\nBased on joint works wi th S. Ghosh (NUS) and A. Wennman (Tel Aviv)\n LOCATION:https://researchseminars.org/talk/BPS/19/ END:VEVENT END:VCALENDAR