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DESCRIPTION: The classical Brunn-Minkowski inequality in the n-dimensional
Euclidean space asserts that the volume (Lebesgue measure) to the power 1/n
is a concave functional when dealing with convex bodies (non-empty compact
convex sets). This result has become not only a cornerstone of the Brunn-M
inkowski theory\, but also a powerful tool in other related fields of mathe
matics. In this talk we will make a brief walk on this inequality\, as wel
l as on its extensions to the Lp-setting\, for non-negative values of p. Th
en\, we will move to the discrete world\, either considering the integer la
ttice endowed with the cardinality\, or working with the lattice point enum
erator\, which provides with the number of integer points contained in a gi
ven convex body: we will discuss and show certain discrete analogues of the
above mentioned Brunn-Minkowski type inequalities in both cases. This is
about joint works with Eduardo Lucas and Jesús Yepes Nicolás.
DTSTAMP:20220119T183700
DTSTART:20220117T141500
CLASS:PUBLIC
LOCATION:Online via Zoom
SEQUENCE:0
SUMMARY:María A. Hernández Cifre (Universitdad de Murcia): On discrete Brun
n-Minkowski type inequalities
UID:107919995@www.facetsofcomplexity.de
URL:http://www.facetsofcomplexity.de/monday/20220117-L-Hernandez.html
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