Multi-linear estimates and applications to geometric measure theory and combinatorics

Lundi 5 mars 2012 14:00-15:00 - Alex Iosevich - University of Rochester

Résumé : We examine some simple multi-linear analogs of linear generalized Radon transforms and apply the resulting estimates to the problems of distribution of simplexes in discrete, continuous and arithmetic settings. The problem of determining how often a congruent copy of a given triangle can arise among a finite collection of points in Euclidean space will serve as the central motivating example.

Lieu : bât. 425 - 113-115

Multi-linear estimates and applications to geometric measure theory and combinatorics  Version PDF