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Blogs about: Mathpr

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At the AustMS conference18 comments

Terence Tao wrote 1 month ago: This week I was in my home town of Adelaide, Australia, for the 2009 annual meeting of the Australia … more →

Tags: math.AT, math.GR, math.GT, talk, Travel, AustMS, fundamental group, Langlands program, mirror symmetry

More Mahler lectures21 comments

Terence Tao wrote 3 months ago: I am posting here four more of my Mahler lectures, each of which is based on earlier talks of mine: … more →

Tags: math.CA, math.IT, math.NT, math.SP, talk, Clay-Mahler lectures

Determinantal processes18 comments

Terence Tao wrote 3 months ago: Given a set , a (simple) point process is a random subset of . (A non-simple point process would all … more →

Tags: Expository, math.QA, math.SP, Gue!.., point processes, random matrices

Random matrices: Universality of local eigenvalue statistics up to the edge2 comments

Terence Tao wrote 3 months ago: Van Vu and I have just uploaded to the arXiv our paper “Random matrices: Universality of local … more →

Tags: math.SP, paper, random matrices, universality, Van Vu

Selberg's limit theorem for the Riemann zeta function on the critical line15 comments

Terence Tao wrote 4 months ago: The Riemann zeta function , defined for by and then continued meromorphically to other values of by … more →

Tags: Expository, math.NT, Riemann hypothesis, universality, Riemann Zeta Function, Gue!.., central limit theorem

Benford's law, Zipf's law, and the Pareto distribution19 comments

Terence Tao wrote 4 months ago: A remarkable phenomenon in probability theory is that of universality – that many seemingly un … more →

Tags: Expository, math.ST, Non-technical, Benford's Law, Pareto distribution, randomness, Zipf's law

Bulk universality for Wigner hermitian matrices with subexponential decay1 comment

Terence Tao wrote 5 months ago: One further paper in this stream: László Erdős, José Ramírez, Benjamin Schlein, Van Vu, Horng-Tzer Y … more →

Tags: math.SP, paper, Benjamin Schlein, Horng-Tzer Yau, José Ramírez, Laszlo Erdos, random matrices, randomness, universality

Talagrand's concentration inequality21 comments

Terence Tao wrote 5 months ago: In the theory of discrete random matrices (e.g. matrices whose entries are random signs ), one often … more →

Tags: Expository, math.MG, convexity, large deviation inequality, random matrices, Talagrand's inequality

Probably Nonsense1 comment

camnc wrote 5 months ago: In poker, hands are ordered by how likely they are to appear in play.  For instance, a Royal Flush i … more →

Random matrices: universality of local eigenvalue statistics7 comments

Terence Tao wrote 5 months ago: Van Vu and I have just uploaded to the arXiv our paper “Random matrices: universality of local … more →

Tags: paper, eigenvalues, Lindeberg replacement trick, random matrices, universality, Van Vu, Wigner matrices

Szemeredi's regularity lemma via the correspondence principle

Terence Tao wrote 6 months ago: In a previous post, we discussed the Szemerédi regularity lemma, and how a given graph could … more →

Tags: Expository, math.CO, math.DS, correspondence principle, szemeredi regularity lemma

At the Fefferman conference3 comments

Terence Tao wrote 6 months ago: I am currently at Princeton for the conference “The power of Analysis” honouring Charlie … more →

Tags: math.CA, Travel, Charles Fefferman, Diego Cordoba, fractional differentiation, Mean, Median, Mode, Soonsik Kwon

Probabilistic Number Theory

Yaqiao Li wrote 6 months ago: 任选两个数,互素的概率是 (established by Cesaro in 1881) 在数字比较小的时候, , square-free的概率()约是prime概率的倍. square-free的概 … more →

Tags: math.NT, mathematics, References

Szemeredi's regularity lemma via random partitions5 comments

Terence Tao wrote 7 months ago: In the theory of dense graphs on vertices, where is large, a fundamental role is played by the Szeme … more →

Tags: Expository, math.CO, random neighbourhoods, szemeredi regularity lemma

The power of convex relaxation: near-optimal matrix completion18 comments

Terence Tao wrote 8 months ago: Emmanuel Candés and I have just uploaded to the arXiv our paper “The power of convex relaxatio … more →

Tags: math.IT, math.NA, paper, compressed sensing, Emmanuel Candes, Matrix Completion

Random matrices: The distribution of the smallest singular values12 comments

Terence Tao wrote 9 months ago: Van Vu and I have just uploaded to the arXiv our paper “Random matrices: The distribution of t … more →

Tags: math.SP, paper, Bernoulli ensemble, gaussian ensemble, least singular value, random matrices, universality, Van Vu

A sharp inverse Littlewood-Offord theorem

Terence Tao wrote 9 months ago: Van Vu and I have just uploaded to the arXiv our preprint “A sharp inverse Littlewood-Offord t … more →

Tags: paper, math.CO, Littlewood-Offord theorems, Van Vu, Random Walks!, generalised arithmetic progressions

From the Littlewood-Offord problem to the Circular Law: universality of the spectral distribution of random matrices8 comments

Terence Tao wrote 1 year ago: Van Vu and I have just uploaded to the arXiv our survey paper “From the Littlewood-Offord prob … more →

Tags: paper, math.CO, math.SP, random matrices, singular values, circular law, universality, second moment method, negative second moment

Oded Schramm20 comments

Terence Tao wrote 1 year ago: I am very saddened (and stunned) to learn that Oded Schramm, who made fundamental contributions to c … more →

Tags: math.CV, obituary, Brownian Motion, Oded Schramm, Stochastic Loewner equation


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