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SUMMARY:Aron Wenmann (Tel-Aviv University\, Israel)
DTSTART:20210201T100000Z
DTEND:20210201T104500Z
DTSTAMP:20260423T100613Z
UID:BPS/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BPS/20/">The
  forbidden region for random zeros: appearance of quadrature domains</a>\n
 by Aron Wenmann (Tel-Aviv University\, Israel) as part of Bangalore Probab
 ility Seminar\n\n\nAbstract\nWe consider the hole event for Gaussian compl
 ex zeros. As the size of the hole increases\, the density of zeros vanishe
 s\, not just inside the hole\, but also on a macroscopic region beyond the
  (rescaled) hole - a 'forbidden region' emerges. Surprisingly\, the shape 
 of this region is rigid under perturbations of the hole.\n\nI will discuss
  the shape of the forbidden region for general simply connected holes. I p
 lan to explain how to study the limiting zero density through a constraine
 d variational problem\, and touch upon a curious emergence of quadrature d
 omains from potential theory.\n
LOCATION:https://researchseminars.org/talk/BPS/20/
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