Add to ORKGMotivated by the inverse Littlewood-Offord problem for linear forms, we study the concentration of quadratic forms. We show that if this form concentrates on a small ball with high probability, then the coefficients can be approximated by a sum of additive and algebraic structures
AbstractThe purpose of this paper is to prove a conjectured q-identity. The result is then applied t...
AbstractLet ηi, i=1,…,n, be iid Bernoulli random variables, taking values ±1 with probability 12. Gi...
Perturbations of the quadratic form minimization problem under quadratic constraints of the type of ...
Motivated by the inverse Littlewood-Offord problem for linear forms, we study the concentration of q...
Consider a quadratic polynomial $f\left(\xi_{1},\dots,\xi_{n}\right)$ of independent Bernoulli rando...
Götze F, Eliseeva YS, Zaitsev AY. Arak's inequalities for concentration functions and the Littlewood...
Götze F, Eliseeva YS, Zaitsev AY. ARAK INEQUALITIES FOR CONCENTRATION FUNCTIONS AND THE LITTLEWOOD-O...
Götze F, Zaitsev AY. New applications of Arak's inequalities to the Littlewood-Offord problem. EUROP...
This thesis is focused of two problems - one in additive combinatorics and one in combinatorial prob...
Abstract. Consider a random sum 1v1 +: : : + nvn, where 1; : : : ; n are i.i.d. random signs and v1;...
It was proved by Cassels and Swinnerton-Dyer that Littlewood conjecture in simultaneous Diophantine ...
Götze F, Zaitsev AY. A New Bound in the Littlewood–Offord Problem. Mathematics. 2022;10(10): 1740.Th...
We consider the problem subject to where is positive definite or positive semi-definite. Variants o...
In 1943, Littlewood and Offord proved the first anti-concentration result for sums of independent ra...
Abstract. In this expository note, we give a modern proof of Hanson-Wright inequality for quadratic ...
AbstractThe purpose of this paper is to prove a conjectured q-identity. The result is then applied t...
AbstractLet ηi, i=1,…,n, be iid Bernoulli random variables, taking values ±1 with probability 12. Gi...
Perturbations of the quadratic form minimization problem under quadratic constraints of the type of ...
Motivated by the inverse Littlewood-Offord problem for linear forms, we study the concentration of q...
Consider a quadratic polynomial $f\left(\xi_{1},\dots,\xi_{n}\right)$ of independent Bernoulli rando...
Götze F, Eliseeva YS, Zaitsev AY. Arak's inequalities for concentration functions and the Littlewood...
Götze F, Eliseeva YS, Zaitsev AY. ARAK INEQUALITIES FOR CONCENTRATION FUNCTIONS AND THE LITTLEWOOD-O...
Götze F, Zaitsev AY. New applications of Arak's inequalities to the Littlewood-Offord problem. EUROP...
This thesis is focused of two problems - one in additive combinatorics and one in combinatorial prob...
Abstract. Consider a random sum 1v1 +: : : + nvn, where 1; : : : ; n are i.i.d. random signs and v1;...
It was proved by Cassels and Swinnerton-Dyer that Littlewood conjecture in simultaneous Diophantine ...
Götze F, Zaitsev AY. A New Bound in the Littlewood–Offord Problem. Mathematics. 2022;10(10): 1740.Th...
We consider the problem subject to where is positive definite or positive semi-definite. Variants o...
In 1943, Littlewood and Offord proved the first anti-concentration result for sums of independent ra...
Abstract. In this expository note, we give a modern proof of Hanson-Wright inequality for quadratic ...
AbstractThe purpose of this paper is to prove a conjectured q-identity. The result is then applied t...
AbstractLet ηi, i=1,…,n, be iid Bernoulli random variables, taking values ±1 with probability 12. Gi...
Perturbations of the quadratic form minimization problem under quadratic constraints of the type of ...