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math.PR2026
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…
math.PR2022
On the Fourier coefficients of word maps on unitary groups
Nir Avni, Itay Glazer
Given a word , i.e., an element in the free group on elements, and an integer , we study the characteristic polynomial of the random matrix $w(X_…
math.PR2021
Anti-concentration of polynomials: dimension-free covariance bounds and decay of Fourier coefficients
Itay Glazer, Dan Mikulincer
We study random variables of the form , when is a degree polynomial, and is a random vector on , motivated towards a deeper understanding of the c…