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SUMMARY:Haojian Li (Baylor University)
DTSTART:20220207T200000Z
DTEND:20220207T210000Z
DTSTAMP:20260423T021331Z
UID:paw/56
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/paw/56/">Mat
 rix-valued logarithmic Sobolev inequalities</a>\nby Haojian Li (Baylor Uni
 versity) as part of Probability and Analysis Webinar\n\n\nAbstract\nLogari
 thmic Sobolev inequalities (LSI)  first were introduced by Gross in 1970s 
 as an equivalent formulation of hypercontractivity. LSI have been well stu
 died in the past few decades and found applications to information theory\
 , optimal transport\, and graphs theory. Recently matrix-valued LSI have b
 een an active area of research. Matrix-valued LSI of Lindblad operators ar
 e closely related to decoherence of open quantum systems.  In this talk\, 
 I will present recent results on matrix-valued LSI\, in particular a geome
 tric approach to matrix-valued LSI of Lindblad operators. This talk is bas
 ed on joint work with Li Gao\, Marius Junge\, and Nicholas LaRacuente.\n
LOCATION:https://researchseminars.org/talk/paw/56/
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