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Blogs about: Regularity Lemma

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Open Problems from FOCS 20092 comments

kintali wrote 1 month ago: Here are some open problems (that interest me) from FOCS 2009. If you want to share an open problem, … more →

Tags: Algorithms, Combinatorics, Complexity, Polynomial Identity Testing, PPAD-complete, prize-collecting problems, Triangle Removal Lemma

The Triangle Removal Lemma4 comments

luca wrote 7 months ago: [At the end of a survey paper on additive combinatorics and computational complexity which is to app … more →

Tags: Math, Theory, additive combinatorics, Open problems, Szemeredi Theorem, Triangle Removal Lemma

Applications of Low-Complexity Approximations2 comments

luca wrote 1 year ago: In the last post, I stated the following generalization of the weak regularity lemma: Theorem (Low C … more →

Tags: Theory, Math, Hard-Core Sets, additive combinatorics

Boosting and the Regularity Lemma1 comment

luca wrote 1 year ago: In a previous post, I described abstract forms of the weak regularity lemma, in which we start from … more →

Tags: Theory, Math, Hard-Core Sets, additive combinatorics, Boosting

Decomposition Results and Regularity Lemmas3 comments

luca wrote 1 year ago: Several results in additive combinatorics have the flavor of decomposition results in which one show … more →

Tags: Theory, Math, Pseudorandomness, additive combinatorics

Lewis lectures2 comments

Terence Tao wrote 1 year ago: This week I am at Rutgers University, giving the Lewis Memorial Lectures for this year, which are al … more →

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

On the testability and repair of hereditary hypergraph properties4 comments

Terence Tao wrote 1 year ago: I’ve just uploaded to the arXiv my joint paper with Tim Austin, “On the testability and … more →

Tags: math.CO, math.CT, math.PR, paper, correspondence principle, exchangeable measures, hypergraphs, property testing, Tim Austin

Best Tutorials Ever2 comments

luca wrote 2 years ago: FOCS 2007 started yesterday in Providence with a series of tutorials. Terry Tao gave a talk similar … more →

Tags: Food, Math, Theory, additive combinatorics, Dan Boneh, Dan Spielman, FOCS 2007, Providence, terence tao

The unreasonable effectiveness of additive combinatorics in computer science6 comments

luca wrote 2 years ago: As I have written several times on these pages, techniques from additive combinatorics seem to be ve … more →

Tags: Math, Theory, additive combinatorics, Szemeredi Theorem, Tim Gowers

The Lebesgue differentiation theorem and the Szemeredi regularity lemma7 comments

Terence Tao wrote 2 years ago: This post is a sequel of sorts to my earlier post on hard and soft analysis, and the finite converge … more →

Tags: Expository, math.CA, math.CO, Graph Theory, hard analysis, Lebesgue differentiation theorem, randomness, soft analysis, Structure

Simons Lecture II: Structure and randomness in ergodic theory and graph theory14 comments

Terence Tao wrote 2 years ago: In this second lecture, I wish to talk about the dichotomy between structure and randomness as it ma … more →

Tags: talk, Travel, math.CO, math.DS, Graph Theory, Structure, randomness, ergodic theory, correspondence principle

Open question: triangle and diamond densities in large dense graphs20 comments

Terence Tao wrote 2 years ago: The question in extremal graph theory I wish to discuss here originates from Luca Trevisan; it shows … more →

Tags: Question, math.CO, Graph Theory

Entropy and the weak Regularity Lemma5 comments

luca wrote 3 years ago: If you remember my discussion of Szemeredi’s proof of the Szemeredi Regularity Lemma, the proo … more →

Tags: Math

The Szemeredi Regularity Lemma2 comments

luca wrote 3 years ago: This semester I will mostly be securing the cyberspace, but I also plan to learn more about additive … more →

Tags: Math

Property testing and Szemeredi's Theorem2 comments

luca wrote 3 years ago: After discussing Szemeredi’s Theorem and the analytical approaches of Roth and Gowers, let … more →

Tags: Theory, Math, additive combinatorics, Szemeredi Theorem, property testing


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