Blogs about: Mathmg
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Random Martingales and localization of maximal inequalities
Assaf Naor and I have just uploaded to the arXiv our paper “Random Martingales and localization of maximal inequalities“, to be submitted shortly. This paper investigates the best constant… more →
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Random Martingales and localization of maximal inequalities
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wrote 3 weeks ago: Assaf Naor and I have just uploaded to the arXiv our paper “Random Martingales and localizatio … more →
A finitary version of Gromov's polynomial growth theorem
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wrote 2 months ago: Yehuda Shalom and I have just uploaded to the arXiv our paper “A finitary version of Gromov … more →
Two more Clay-Mahler lectures
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wrote 3 months ago: I am posting the last two talks in my Clay-Mahler lecture series here: “Structure and randomne … more →
The Szemerédi-Trotter theorem and the cell decomposition
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wrote 6 months ago: The celebrated Szemerédi-Trotter theorem gives a bound for the set of incidences between a fi … more →
Talagrand's concentration inequality
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wrote 6 months ago: In the theory of discrete random matrices (e.g. matrices whose entries are random signs ), one often … more →
245C, Notes 5: Hausdorff dimension (optional)
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wrote 7 months ago: (This is the last set of lecture notes for this quarter – T.) A fundamental characteristic of … more →
linear geometry@Gruenberg
wrote 7 months ago: 科大老师推荐看。包括射影几何等等。 … more →
245B, Notes 9: The Baire category theorem and its Banach space consequences
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wrote 11 months ago: The notion of what it means for a subset E of a space X to be “small” varies from contex … more →
245B, Notes 8: A quick review of point set topology
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wrote 11 months ago: To progress further in our study of function spaces, we will need to develop the standard theory of … more →
A remark on the Kakeya needle problem
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wrote 12 months ago: In 1917, Soichi Kakeya posed the following problem: Kakeya needle problem. What is the least amount … more →
254A, Lecture 6: Isometric systems and isometric extensions
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wrote 1 year ago: In this lecture, we move away from recurrence, and instead focus on the structure of topological dyn … more →
PCM article: Differential forms
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wrote 2 years ago: I’m continuing my series of articles for the Princeton Companion to Mathematics through the ho … more →
The Hahn-Banach theorem, Menger's theorem, and Helly's theorem
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wrote 2 years ago: In the previous post, I discussed how an induction on dimension approach could establish Hilbert … more →
Unipotent elements of the Lorentz group, and conic sections
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wrote 2 years ago: In my discussion of the Oppenheim conjecture in my recent post on Ratner’s theorems, I mention … more →
Open question: deterministic UUP matrices
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wrote 2 years ago: This problem in compressed sensing is an example of a derandomisation problem: take an object which, … more →
A quantitative form of the Besicovitch projection theorem via multiscale analysis
wrote 2 years ago: I’ve just uploaded a new paper to the arXiv entitled “A quantitative form of the Besicov … more →
Distinguished Lecture Series II: Shing-Tung Yau, "The Basic Tools to Construct Geometric Structures"
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wrote 2 years ago: On Thursday, Yau continued his lecture series on geometric structures, focusing a bit more on the to … more →
Distinguished Lecture Series I: Shing-Tung Yau, "What is a Geometric Structure"
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wrote 2 years ago: The final Distinguished Lecture Series for this academic year at UCLA was started on Tuesday by Shin … more →
(Gil Kalai) The weak epsilon-net problem
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wrote 2 years ago: [This post is authored by Gil Kalai, who has kindly “guest blogged” this week’s “open problem of the … more →
