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CATEGORIES:Lecture / Talk / Workshop
DESCRIPTION:Ramon van Handel\, Princeton University\n\nAbstract: How do cla
ssical concentration inequalities extend to functions taking values in norm
ed spaces? Such questions arise in various settings (in functional analysis
\, random matrix theory\, etc.)\, and are generally studied on a case by ca
se basis. In the Gaussian case\, however\, Pisier discovered a powerful pri
nciple that explains in complete generality how vector-valued functions con
centrate. Unfortunately\, Pisier's argument appears to be very specific to
the Gaussian distribution\, and until recently this phenomenon was not know
n to hold in any other setting.\n\nIn this talk\, I will explain that Pisie
r's principle is much more universal than expected: a completely analogous
result holds under the classical (Bakry-Emery) conditions used in the theor
y of scalar concentration inequalities. Moreover\, a modified form of this
principle holds also in discrete settings (as was first observed\, in the s
pecial case of the discrete cube\, in joint work with Ivanisvili and Volber
g that settled an old conjecture of Enflo in Banach space theory). These ne
w inequalities provide very general tools for establishing concentration pr
operties of vector-valued functions.
DTEND:20210416T233000Z
DTSTAMP:20210621T040502Z
DTSTART:20210416T223000Z
LOCATION:
SEQUENCE:0
SUMMARY:Probability and Statistics Seminar: Vector concentration inequaliti
es
UID:tag:localist.com\,2008:EventInstance_36396116299411
URL:https://calendar.usc.edu/event/probability_and_statistics_seminar_vecto
r_concentration_inequalities
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