Blogs about: Random Matrices

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Random matrices: A general approach for the least singular value problem

Van Vu and I have just uploaded to the arXiv our paper “Random matrices: A general approach for the least singular value problem“, submitted to Israel J. Math.. This paper continues a rec… more »

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Random matrices: A general approach for the least singular value problem — 5 comments

Terence Tao wrote 2 months ago: Van Vu and I have just uploaded to the arXiv our paper “Random matrices: A general approach fo … more »

Tags: math.PR, paper, least singular value, universality

Kernels of random sign matrices — 3 comments

jrluw wrote 2 months ago: In the last post, we began proving that a random sign matrix almost surely satisfies . In other w … more »

Tags: Math, geometric functional analysis

On the permanent of a random Bernoulli matrix — 4 comments

Terence Tao wrote 3 months ago: Van Vu and I have just uploaded to the arXiv our preprint “On the permanent of random Bernoull … more »

Tags: math.CO, math.PR, paper, Littlewood-Offord, Minors, Permanent

Lewis lectures — 1 comment

Terence Tao wrote 4 months ago: This week I am at Rutgers University, giving the Lewis Memorial Lectures for this year, which are al … more »

Tags: math.CO, math.PR, math.RA, math.SP, talk, circular law, Determinant, least singular value, regularity lemma

Milliman Lecture II: Additive combinatorics and random matrices — 14 comments

Terence Tao wrote 7 months ago: This is my second Milliman lecture, in which I talk about recent applications of ideas from additive … more »

Tags: math.CO, math.PR, math.SP, talk, additive combinatorics, condition number, eigenvalues, Littlewood-Offord problem, Milliman lecture

Random matrices: the circular law — 23 comments

Terence Tao wrote 11 months ago: Van Vu and I have recently uploaded our joint paper, “Random matrices: the circular law“ … more »

Tags: math.CO, math.PR, math.SP, paper, additive combinatorics, condition number, eigenvalues, Littlewood-Offord theorems, singular values

Open question: deterministic UUP matrices — 11 comments

Terence Tao wrote 1 year ago: This problem in compressed sensing is an example of a derandomisation problem: take an object which, … more »

Tags: Question, math.NA, math.MG, compressed sensing, derandomisation, UUP, RIP

STOC talk: The condition number of a randomly perturbed matrix — 2 comments

Terence Tao wrote 1 year ago: This week I am in San Diego for the 39th ACM Symposium for the Theory of Computing (STOC). Today I p … more »

Tags: math.CO, math.PR, math.SP, talk, Travel, condition number, Littlewood-Offord theorems, stoc

On the condition number of a randomly perturbed matrix — 10 comments

Terence Tao wrote 1 year ago: I’ve arXived the paper “On the condition number of a randomly perturbed matrix”, authored with … more »

Tags: math.CO, math.PR, math.SP, paper, condition number, Littlewood-Offord theorems


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