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UID:8373@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20140514T100000
DTEND;TZID=Europe/Paris:20140514T110000
DTSTAMP:20241120T210352Z
URL:https://www.i2m.univ-amu.fr/evenements/the-bernstein-markov-property-a
 nd-applications-in-pluripotential-theory/
SUMMARY:Federico Piazzon (Università degli studi di Padova & Marseille): T
 he Bernstein-Markov property and applications in pluripotential theory
DESCRIPTION:Federico Piazzon: The Bernstein Markov Property (BMP) is a comp
 arability conditions of the Lμ2 and max K|⋅| norms of polynomials for a
  given a compact set K ⊂ ℂn and a measure μ with supp(μ) ⊆ K. Seve
 ral variants (i.e.\, Lp\, weighted\, …) of this property has been introd
 uced. Bernstein Markov property arises as a key tool in the proofs of some
  fundamental results in (weighted) Pluripotential theory and random polyno
 mials. More recently\, it has been shown that such results can be reinterp
 reted in a probability fashion proving a Large Deviation Principle. We rec
 all the best-known sufficient condition for the standard BMP and present t
 wo new results. Namely\, a sufficient mass density condition for the BMP f
 or rational functions and a sufficient mass density condition for the weig
 hted BMP on unbounded closed sets in the complex plane. \nhttps://www.math
 .unipd.it/~fpiazzon/file/MarseilleTalk2014.pdf\n\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 021/03/Federico_Piazzon.jpg
CATEGORIES:Séminaire,Analyse et Géométrie
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