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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Relative Entropy and Fisher Information - Marius J
unge (University of Illinois\; University of Illin
ois at Urbana-Champaign)
DTSTART;TZID=Europe/London:20180727T123000
DTEND;TZID=Europe/London:20180727T131500
UID:TALK108430AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/108430
DESCRIPTION:We show that in finite dimension the set of genera
tes satisfying a stable version of the log-sobolev
inequality for the Fisher information is dense. T
he results is based on \; a new algebraic prop
erty \, valid for subordinates semigroups \; f
or sublabplacians \; on compact Riemann manifo
lds which is then transferred to matrix algebras.
Even in the commutative setting the inequalities f
or subordinated sublaplacians are entirely new. We
also found counterexample for why a naive approac
h via hypercontractivity is not expected to work i
n a matrix-valued setting\, similar \; to resu
lts by Bardet and collaborators.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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