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20002023
most citedRandom matrices: Universality of local eigenvalue statistics up to the edge

276 citations · 1k across the 68 of their papers we have counts for

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Showing 2016Show all

7 papers · 1 filter

math.CO2016

Packing perfect matchings in random hypergraphs

Asaf Ferber, Van Vu

We introduce a new procedure for generating the binomial random graph/hypergraph models, referred to as \emph{online sprinkling}. As an illustrative application of this method, we…

math.CO2016

Law of Iterated Logarithm for random graphs

Asaf Ferber, Daniel Montealegre, Van Vu

A milestone in Probability Theory is the law of the iterated logarithm (LIL), proved by Khinchin and independently by Kolmogorov in the 1920s, which asserts that for iid random var…

math.PR2016★ 1 cited

Random matrices: Law of the iterated logarithm

Asaf Ferber, Daniel Montealegre, Van Vu

The theory of random matrices contains many central limit theorems. We have central limit theorems for eigenvalues statistics, for the log-determinant and log-permanent, for limiti…

math.PR2016

Normal vector of a random hyperplane

Hoi H. Nguyen, Van H. Vu

Let v_1,...,v_{n-1} be n-1 independent vectors in R^n (or C^n). We study x, the unit normal vector of the hyperplane spanned by the v_i. Our main finding is that x resembles a rand…

math.CO2016★ 1 cited

Sumfree sets in groups: a survey

Terence Tao, Van Vu

We discuss several questions concerning sum-free sets in groups, raised by Erdős in his survey "Extremal problems in number theory" (Proceedings of the Symp. Pure Math. VIII AMS) p…

math.CO2016★ 3 cited

Sum-avoiding sets in groups

Terence Tao, Van Vu

Let be a finite subset of an arbitrary additive group , and let denote the cardinality of the largest subset in that is sum-avoiding in (that is to say, $…