Comments for I Can't Believe It's Not Random!
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Joel Moreira's math blog
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Comment on Entropy of measure preserving systems by Tao’s Proof of (logarithmically averaged) Chowla’s conjecture for two point correlations | I Can't Believe It's Not Random!
https://joelmoreira.wordpress.com/2018/06/06/entropy-of-measure-preserving-systems/#comment-1279
Sun, 04 Nov 2018 16:45:42 +0000http://joelmoreira.wordpress.com/?p=699#comment-1279[…] obtain (6). I explore the notion of entropy and its connection with “information” in my previous post; here are the relevant […]
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Comment on Jin’s Theorem by Tao’s Proof of (logarithmically averaged) Chowla’s conjecture for two point correlations | I Can't Believe It's Not Random!
https://joelmoreira.wordpress.com/2013/02/22/jins-theorem/#comment-1278
Sun, 04 Nov 2018 16:45:31 +0000http://joelmoreira.wordpress.com/?p=314#comment-1278[…] using was used by Beigleb”ock in his short proof of Jin’s theorem (discussed in this previous post). I also adapted a similar idea in my paper on patterns to construct a dynamical system where both […]
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Comment on Properties of ultrafilters and a Theorem on arithmetic combinatorics by Tao’s Proof of (logarithmically averaged) Chowla’s conjecture for two point correlations | I Can't Believe It's Not Random!
https://joelmoreira.wordpress.com/2012/11/14/properties-of-ultrafilters-and-a-theorem-of-hindman-on-arithmetic-combinatorics/#comment-1277
Sun, 04 Nov 2018 16:45:27 +0000http://joelmoreira.wordpress.com/?p=283#comment-1277[…] system from scratch using the Stone-Čech compactification of the natural numbers (see my previous post for a construction of using ultrafilters). The idea of obtaining a correspondence principle using […]
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Comment on Single and multiple recurrence along non-polynomial sequences by Tao’s Proof of (logarithmically averaged) Chowla’s conjecture for two point correlations | I Can't Believe It's Not Random!
https://joelmoreira.wordpress.com/2017/11/18/single-and-multiple-recurrence-along-non-polynomial-sequences/#comment-1276
Sun, 04 Nov 2018 16:45:21 +0000http://joelmoreira.wordpress.com/?p=678#comment-1276[…] the terminology and notation of my earlier post, the conclusion of this theorem states that the uniform logarithmic average of the sequence is , […]
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Comment on New polynomial and multidimensional extensions of classical partition results by Evan Minasian
https://joelmoreira.wordpress.com/2015/01/28/new-polynomial-and-multidimensional-extensions-of-classical-partition-results/#comment-1200
Thu, 23 Aug 2018 02:44:02 +0000http://joelmoreira.wordpress.com/?p=541#comment-1200magnificent points altogether, you just won brand new reader. What could you suggest in regards to your post that you just made a few days in the past? Any positive?
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Comment on Weak Mixing by A viewpoint on Katai’s orthogonality criterion | I Can't Believe It's Not Random!
https://joelmoreira.wordpress.com/2013/02/11/weak-mixing/#comment-1176
Sat, 21 Jul 2018 04:06:25 +0000http://joelmoreira.wordpress.com/?p=308#comment-1176[…] was the protagonist of a survey Vitaly Bergelson and I wrote and has been mentioned repeatedly in this blog. In fact one can prove both results (Katai’s orthogonality criterion and van der […]
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Comment on Equidistribution of polynomials, recurrence and van der Corput trick by A viewpoint on Katai’s orthogonality criterion | I Can't Believe It's Not Random!
https://joelmoreira.wordpress.com/2011/09/19/equidistribution-of-polynomials-recurrence-and-van-der-corput-trick/#comment-1175
Sat, 21 Jul 2018 04:06:22 +0000http://joelmoreira.wordpress.com/?p=185#comment-1175[…] Ramsey theory, was the protagonist of a survey Vitaly Bergelson and I wrote and has been mentioned repeatedly in this blog. In fact one can prove both results (Katai’s orthogonality criterion and van der […]
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Comment on Alternative proofs of two classical lemmas by A viewpoint on Katai’s orthogonality criterion | I Can't Believe It's Not Random!
https://joelmoreira.wordpress.com/2015/04/12/alternative-proofs-of-two-classical-lemmas/#comment-1174
Sat, 21 Jul 2018 04:06:19 +0000http://joelmoreira.wordpress.com/?p=588#comment-1174[…] ergodic Ramsey theory, was the protagonist of a survey Vitaly Bergelson and I wrote and has been mentioned repeatedly in this blog. In fact one can prove both results (Katai’s orthogonality criterion […]
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Comment on Proof of Roth’s Theorem using Ergodic Theory by A viewpoint on Katai’s orthogonality criterion | I Can't Believe It's Not Random!
https://joelmoreira.wordpress.com/2012/04/24/proof-of-roths-theorem-using-ergodic-theory/#comment-1173
Sat, 21 Jul 2018 04:06:14 +0000http://joelmoreira.wordpress.com/?p=236#comment-1173[…] statement of Theorem 2 is reminiscent of the van der Corput trick, which is a ubiquitous tool in the fields of uniform distribution and ergodic Ramsey theory, was […]
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Comment on Factors and joinings of measure preserving systems by Entropy of measure preserving systems | I Can't Believe It's Not Random!
https://joelmoreira.wordpress.com/2014/01/07/factors-and-joinings-of-measure-preserving-systems/#comment-1146
Thu, 07 Jun 2018 00:52:42 +0000http://joelmoreira.wordpress.com/?p=423#comment-1146[…] notion of isomorphism in the category of measure preserving systems (defined, for instance, in this earlier post) is fairly flexible, as it allows measure perturbations. For instance, the system where is the […]
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