The paper deals with studying a connection of the Littlewood--Offord problem with estimating the concentration functions of some symmetric infinitely divisible distributions.Comment: 7 pages. arXiv admin note: substantial text overlap with arXiv:1411.687
Concentration inequalities are fundamental tools in probabilistic combinatorics and theoretical comp...
In this paper, we derive variational formulas for the asymptotic exponents of the concentration and ...
We prove local laws, i.e. optimal concentration estimates for arbitrary products of resolvents of a ...
Götze F, Zaitsev AY. A New Bound in the Littlewood–Offord Problem. Mathematics. 2022;10(10): 1740.Th...
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...
The classical Gaussian concentration inequality for Lipschitz functions is adapted to a setting wher...
We study the extent to which divisors of a typical integer $n$ are concentrated. In particular, defi...
AbstractThis paper derives a sharp bound for the probability that a sum of independent symmetric ran...
The Chernoff bound proves concentration for sums of independent Bernoulli random variables. As we ha...
Götze F, Eliseeva YS, Zaitsev AY. Arak's inequalities for concentration functions and the Littlewood...
We obtain concentration and large deviation for the sums of independent and identically distributed ...
In 1943, Littlewood and Offord proved the first anti-concentration result for sums of independent ra...
If a random variable is not exponentially integrable, it is known that no concentration inequality h...
If a random variable is not exponentially integrable, it is known that no concentration inequality h...
Concentration inequalities are fundamental tools in probabilistic combinatorics and theoretical comp...
In this paper, we derive variational formulas for the asymptotic exponents of the concentration and ...
We prove local laws, i.e. optimal concentration estimates for arbitrary products of resolvents of a ...
Götze F, Zaitsev AY. A New Bound in the Littlewood–Offord Problem. Mathematics. 2022;10(10): 1740.Th...
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...
The classical Gaussian concentration inequality for Lipschitz functions is adapted to a setting wher...
We study the extent to which divisors of a typical integer $n$ are concentrated. In particular, defi...
AbstractThis paper derives a sharp bound for the probability that a sum of independent symmetric ran...
The Chernoff bound proves concentration for sums of independent Bernoulli random variables. As we ha...
Götze F, Eliseeva YS, Zaitsev AY. Arak's inequalities for concentration functions and the Littlewood...
We obtain concentration and large deviation for the sums of independent and identically distributed ...
In 1943, Littlewood and Offord proved the first anti-concentration result for sums of independent ra...
If a random variable is not exponentially integrable, it is known that no concentration inequality h...
If a random variable is not exponentially integrable, it is known that no concentration inequality h...
Concentration inequalities are fundamental tools in probabilistic combinatorics and theoretical comp...
In this paper, we derive variational formulas for the asymptotic exponents of the concentration and ...
We prove local laws, i.e. optimal concentration estimates for arbitrary products of resolvents of a ...
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