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SUMMARY:Petros Valettas (U. Missouri\, USA)
DTSTART:20230519T140000Z
DTEND:20230519T160000Z
DTSTAMP:20260415T032214Z
UID:AthensFAOA/56
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AthensFAOA/5
 6/">Probabilistic Padé Problems</a>\nby Petros Valettas (U. Missouri\, US
 A) as part of Functional analysis and operator algebras in Athens\n\n\nAbs
 tract\nIt has been observed\, by Froissart (1969)\, that zeros and poles o
 f higher order Padé approximants of random perturbations of a determinist
 ic Taylor series tend to form unstable pairs. These pairs appear at loci c
 haracteristic of the random part in the coefficients of the Taylor series.
  While this phenomenon has only been confirmed experimentally\, it has bee
 n suggested\, and indeed used\, as a noise detection tool. In this talk we
  will explain how techniques from high-dimensional probability and logarit
 hmic potential theory can be melted together to rigorously establish and q
 uantify the clustering of zeros in the ``pure noise’’ case\, when the 
 coefficients are drawn according to a distribution with anti-concentration
  properties. \n\nBased on a joint ongoing work with S. Dostoglou (Universi
 ty of Missouri).\n
LOCATION:https://researchseminars.org/talk/AthensFAOA/56/
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