BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Moment estimates implied by modified log-Sobolev inequalities - Ra
 doslaw Adamczak\, Institute of Mathematics\, University of Warsaw
DTSTART:20140625T103000Z
DTEND:20140625T110000Z
UID:TALK53114@talks.cam.ac.uk
CONTACT:37296
DESCRIPTION:I will present connections between modified log-Sobolev inequa
 lities and Poincare\ninequalities for the p-th moments in which the Euclid
 ean norm of the gradient is\nreplaced by a certain Orlicz type norm relate
 d to the energy form in the log-Sobolev\ninequality. In special cases\, us
 ing estimates of moments of linear combinations of\nindependent random var
 iables with log-concave tails due to Gluskin and Kwapien\,\nthis Poincare 
 inequality can be rewritten in terms of moments of auxiliary\nindependent 
 random variables which allows to obtain a weak decoupling principle for\nf
 unctions with bounded derivatives of higher order\, relating their moments
  to\nmoments of tetrahedral polynomials in independent random variables. I
 n the case of\nthe classical log-Sobolev inequality this leads to an exten
 sion of Latala's inequalities\nfor Gaussian chaos to more general non-Lips
 chitz functions and non-product\nmeasures. If time permits I will also dis
 cuss counterparts of such inequalities for\npolynomials in arbitrary indep
 endent subgaussian random variables (to which\nconcentration inequalities 
 for general smooth functions do not apply).\nJoint work with Witold Bednor
 z and Pawel Wolff.
LOCATION:Centre for Mathematical Sciences\, Meeting Room 2
END:VEVENT
END:VCALENDAR