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SUMMARY:Marta Strzelecka (University of Graz)
DTSTART:20220124T200000Z
DTEND:20220124T210000Z
DTSTAMP:20260423T021340Z
UID:paw/54
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/paw/54/">Nor
 ms of structured random matrices</a>\nby Marta Strzelecka (University of G
 raz) as part of Probability and Analysis Webinar\n\n\nAbstract\nWe conside
 r the structured Gaussian matrix G_A=(a_{ij}g_{ij})\, where g_{ij}'s are i
 ndependent standard Gaussian variables. The exact behavior of the spectral
  norm of the structured Gaussian matrix is known due to the result of Lata
 la\, van Handel\, and Youssef from 2018. We are interested in two-sided bo
 unds for the expected value of the norm of G_A treated as an operator from
  l_p^n to l_q^m. We conjecture the sharp estimates expressed only in the t
 erms of the coefficients a_{ij}'s. We confirm the conjectured lower bound 
 up to the constant depending only on p and q\, and the upper bound up to t
 he multiplicative constant depending linearly on a certain (small) power o
 f ln(mn). This is joint work with Radoslaw Adamczak\, Joscha Prochno\, and
  Michal Strzelecki.\n
LOCATION:https://researchseminars.org/talk/paw/54/
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