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SUMMARY:Oanh Nguyen (University of Illinois at Urbana-Champaign)
DTSTART:20210316T150000Z
DTEND:20210316T160000Z
DTSTAMP:20260423T034447Z
UID:DSCSS/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DSCSS/18/">R
 oots of random functions</a>\nby Oanh Nguyen (University of Illinois at Ur
 bana-Champaign) as part of Data Science and Computational Statistics Semin
 ar\n\n\nAbstract\nRandom functions are linear combinations of deterministi
 c functions using independent random coefficients. Several important examp
 les are the Kac polynomial\, Weyl polynomial\, and random orthogonal polyn
 omials. Random functions appear naturally in physics and approximation the
 ory and remain mysterious despite decades of intensive research. We will p
 resent our approaches via the local universality method to study questions
  about the roots. As one of the applications\, we prove that the number of
  real roots of a wide class of random polynomials satisfies the Central Li
 mit Theorem.\n
LOCATION:https://researchseminars.org/talk/DSCSS/18/
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