5 papers
Anti-concentration of polynomials: balls and symmetric measures
Itay Glazer, Dan Mikulincer
We begin with the observation, based on previous results, that dimension-free lower bounds on the variance of a polynomial under a log-concave measure yield dimension-free small-ba…
On Harish-Chandra's integrability theorem in positive characteristic
Avraham Aizenbud, Dmitry Gourevitch, David Kazhdan +3
The celebrated Harish-Chandra's integrability theorem states that the distributional character of an irreducible smooth representation of a p-adic group is integrable, that…
A lower bound on the analytic log-canonical threshold over local fields of positive characteristic
Itay Glazer, Yotam I. Hendel
Given a local field of positive characteristic, an -analytic manifold and an analytic function , the -analytic log-canonical threshold $\mathrm{lct}…
Word maps and random words
Emmanuel Breuillard, Itay Glazer
We discuss some recent results by a number of authors regarding word maps on algebraic groups and finite simple groups, their mixing properties and the geometry of their fibers, em…
Integrability and singularities of Harish-Chandra characters
Itay Glazer, Julia Gordon, Yotam I. Hendel
Let be a reductive group over a local field of characteristic . By Harish-Chandra's regularity theorem, the character of an irreducible, admissible representatio…