Évènement

Federico Piazzon
Università degli studi di Padova & Marseille
https://scholar.google.com/citations?user=ABhBZBgAAAAJ&hl=en

Date(s) : 14/05/2014   iCal
10h00 - 11h00

The Bernstein Markov Property (BMP) is a comparability conditions of the L_μ² and max _K|⋅| norms of polynomials for a given a compact set K ⊂ ℂⁿ and a measure μ with supp(μ) ⊆ K. Several variants (i.e., L^p, weighted, …) of this property has been introduced. Bernstein Markov property arises as a key tool in the proofs of some fundamental results in (weighted) Pluripotential theory and random polynomials. More recently, it has been shown that such results can be reinterpreted in a probability fashion proving a Large Deviation Principle. We recall the best-known sufficient condition for the standard BMP and present two new results. Namely, a sufficient mass density condition for the BMP for rational functions and a sufficient mass density condition for the weighted BMP on unbounded closed sets in the complex plane.

https://www.math.unipd.it/~fpiazzon/file/MarseilleTalk2014.pdf

Catégories

• Séminaire