Blogs about: Nilsequences

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An informal version of the Furstenberg correspondence principle

One of the basic objects of study in combinatorics are finite strings or infinite strings of symbols from some given alphabet , which could be either finite or infinite (but which we shall usually tak… more →

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An informal version of the Furstenberg correspondence principle — 4 comments

Terence Tao wrote 1 month ago: One of the basic objects of study in combinatorics are finite strings or infinite strings of symbols … more →

Tags: Expository, math.CO, math.DS, correspondence principle, ergodic theory, Morse sequence

254B, Notes 6: The inverse conjecture for the Gowers norm II. The integer case — 11 comments

Terence Tao wrote 2 years ago: In Notes 5, we saw that the Gowers uniformity norms on vector spaces in high characteristic were con … more →

Tags: 254B - Higher order Fourier analysis, math.DS, math.GR, equidistribution, Gowers uniformity norms, polynomial maps, Inverse conjecture for the Gowers norm

An arithmetic regularity lemma, an associated counting lemma, and applications — 4 comments

Terence Tao wrote 3 years ago: Ben Green, and I have just uploaded to the arXiv our paper “An arithmetic regularity lemma, an … more →

Tags: paper, math.CO, math.DS, Szemeredi's theorem, regularity lemma, Ben Green, counting lemma

The Mobius function is strongly orthogonal to nilsequences — 9 comments

Terence Tao wrote 4 years ago: Ben Green and I have just uploaded to the arXiv our paper, “The Möbius function is asymptotica … more →

Tags: paper, math.NT, Ratner's theorem, Mobius function, Vaughan's identity, Vinogradov's method


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