Hoi H. Nguyen

Small Ball Probability, Inverse Theorems, and Applications

Let ξ be a real random variable with mean zero and variance one and A ={a 1; …; a n } be a multi-set in R d . The random sum

Inverse Littlewood–Offord problems and the singularity of random symmetric matrices

S_A : = a_1 \xi _1 + \cdots + a_n \xi _n

On the number of real roots of random polynomials

where ξ i are iid copies of ξ is of fundamental importance in probability and its applications.

On the Singularity of Random Combinatorial Matrices

Let

Real roots of random polynomials: expectation and repulsion

A_n

ON TWO-POINT CONFIGURATIONS IN A RANDOM SET

be an

Asymptotic Lyapunov exponents for large random matrices

n

Squares In Sumsets

by