Séminaires : Séminaire d'Analyse Fonctionnelle

Equipe(s) : af,
Responsables :E. Abakoumov - A.Eskenazis - D. Cordero-Erausquin - M. Fathi - O. Guédon - B. Maurey
Email des responsables :
Salle : salle 13 - couloir 15-16 - 4ème étage
Adresse :Campus Pierre et Marie Curie
Le Jeudi à 10h30 -  IMJ-PRG - 4 place Jussieu - 75005 PARIS

Orateur(s) Sasha Volberg - Michigan,
Titre Some Favard length (and Kakeya) estimates
Horaire10:30 à 17:34
RésumeI would like to describe the present state of understanding of the Favard length rate estimates for self-similar Besicovitch irregular sets of positive and finite length. By duality this is the same as to estimate the area of the union of Kakeya rectangles with a prescribed self-similarity. I would describe the results of M. Bateman, M. Bond, I. Laba, F. Nazarov, Y. Peres and myself. I will also describe the combination of ideas from complex analysis, Fourier analysis, combinatorics and number theory that allowed us to obtain the estimates. However, many problems are still there.
Sallesalle 13 - couloir 15-16 - 4ème étage
AdresseCampus Pierre et Marie Curie