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Blogs about: Mathco

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Nonstandard analogues of energy and density increment arguments1 comment

Terence Tao wrote 2 weeks ago: In the course of the ongoing logic reading seminar at UCLA, I learned about the property of countabl … more →

Tags: Logic reading seminar, math.LO, countable saturation, nonstandard analysis

An elementary non-commutative Freiman theorem7 comments

Terence Tao wrote 2 weeks ago: Let be a finite subset of a non-commutative group . As mentioned previously on this blog (as well as … more →

Tags: Expository, Logic reading seminar, Freiman's theorem

Reading seminar 4: "Stable group theory and approximate subgroups", by Ehud Hrushovski5 comments

Terence Tao wrote 3 weeks ago: This week, Henry Towsner concluded his portion of reading seminar of the Hrushovski paper, by discus … more →

Tags: Logic reading seminar, math.LO, definability, Ehud Hrushovski, henry towsner

An entropy Plünnecke-Ruzsa inequality5 comments

Terence Tao wrote 1 month ago: A handy inequality in additive combinatorics is the Plünnecke-Ruzsa inequality: Theorem 1 (Pl … more →

Tags: Expository, math.IT, additive combinatorics, Plunnecke-Ruzsa inequality, Shannon entropy

A new proof of the density Hales-Jewett theorem9 comments

Terence Tao wrote 1 month ago: The polymath1 project has just uploaded to the arXiv the paper “A new proof of the density Hal … more →

Tags: paper, polymath, density Hales-Jewett theorem, polymath1, Ryan O'Donnell

Reading seminar: "Stable group theory and approximate subgroups", by Ehud Hrushovski23 comments

Terence Tao wrote 1 month ago: One of my favorite open problems, which I have blogged about in the past, is that of establishing (o … more →

Tags: Logic reading seminar, math.LO, definability, Ehud Hrushovski, Freiman's theorem, Isaac Goldbring, type

Moser's entropy compression argument25 comments

Terence Tao wrote 3 months ago: There are many situations in combinatorics in which one is running some sort of iteration algorithm … more →

Tags: Expository, math.IT, boolean satisfiability problem, Entropy, Lovasz local lemma, Robin Moser

IMO 2009 Q6 mini-polymath project cont.169 comments

Terence Tao wrote 4 months ago: Well, participation in the IMO 2009 Q6 polymath project has exceeded my expectations; it appears tha … more →

Tags: polymath, mini-polymath1

IMO 2009 Q6 as a mini-polymath project178 comments

Terence Tao wrote 4 months ago: The International Mathematical Olympiad (IMO) consists of a set of six problems, to be solved in two … more →

Tags: polymath, Question, International Mathematical Olympiad, mini-polymath1

DHJ: Writing the second paper III.23 comments

Terence Tao wrote 4 months ago: This is a continuation of the preceding two threads here on the polymath1 project, which are now ful … more →

Tags: polymath, polymath1

Freiman's theorem for solvable groups10 comments

Terence Tao wrote 5 months ago: I’m continuing the stream of uploaded papers this week with my paper “Freiman’s th … more →

Tags: math.GR, paper, Freiman's theorem, Milnor-Wolf theorem, nilpotent groups, Solvable groups

DHJ: Still writing the second paper104 comments

Terence Tao wrote 5 months ago: This is a continuation of the previous thread here in the polymath1 project, which is now full.  Ost … more →

Tags: polymath, polymath1

The Szemerédi-Trotter theorem and the cell decomposition10 comments

Terence Tao wrote 5 months ago: The celebrated Szemerédi-Trotter theorem gives a bound for the set of incidences between a fi … more →

Tags: Expository, math.MG, cell decomposition, probabilistic method, Szemeredi-Trotter theorem

Naturally4 comments

camnc wrote 6 months ago: Show that for every natural number, , there exist primes, , such that divides their difference. … more →

The two-ends reduction for the Kakeya maximal conjecture10 comments

Terence Tao wrote 6 months ago: In this post I would like to make some technical notes on a standard reduction used in the (Euclidea … more →

Tags: math.CA, tricks, Kakeya conjecture, Kakeya maximal function, rescaling, two-ends reduction

Erdos 考小神童 Lajos Pósa 的一个小题目

Yaqiao Li wrote 6 months ago: Erdos以发掘数学天才为己任。1959年,他听说有一个12岁的匈牙利小男孩Lajos Pósa已经掌握了全部中学数学课程,便邀请他共进午餐。吃饭的时候, Pósa正喝着汤,Erdos便问了他这样一个 … more →

Tags: math.NT, mathematics, tricks, construct_function, Pigeonhole_principle, Transformation., coprime

10 Lessons of an MIT Education (by Gian-Carlo Rota)

Yaqiao Li wrote 6 months ago: 本文转自:http://www.math.tamu.edu/~catherine.yan/Rota/mitless.html Lesson One: You can and will work at … more →

Tags: mathematics, Gian-Carlo_Rota, MIT

Recent progress on the Kakeya conjecture19 comments

Terence Tao wrote 6 months ago: Below the fold is a version of my talk “Recent progress on the Kakeya conjecture” that I … more →

Tags: talk, Travel, math.AG, math.AP, math.AT, incidence geometry, additive combinatorics, Kakeya conjecture, polynomial method

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.DS, math.PR, correspondence principle, szemeredi regularity lemma


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