Comments on: An informal version of the Furstenberg correspondence principle
https://terrytao.wordpress.com/2013/03/27/an-informal-version-of-the-furstenberg-correspondence-principle/
Updates on my research and expository papers, discussion of open problems, and other maths-related topics. By Terence TaoSun, 05 Mar 2017 18:38:33 +0000
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By: Furstenberg limits of the Liouville function | What's new
https://terrytao.wordpress.com/2013/03/27/an-informal-version-of-the-furstenberg-correspondence-principle/#comment-478881
Sun, 05 Mar 2017 18:38:33 +0000http://terrytao.wordpress.com/?p=6584#comment-478881[…] correspondence principle is discussed in these previous blog posts. One way to establish the principle is by introducing a Banach limit that extends the […]
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By: Concatenation theorems for anti-Gowers-uniform functions and Host-Kra characteristic factors; polynomial patterns in primes | What's new
https://terrytao.wordpress.com/2013/03/27/an-informal-version-of-the-furstenberg-correspondence-principle/#comment-467298
Mon, 28 Mar 2016 01:17:51 +0000http://terrytao.wordpress.com/?p=6584#comment-467298[…] along . One can view this example as the dynamical systems translation of the example (1) (see this previous post for some more discussion of this sort of […]
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By: Vít Tuček
https://terrytao.wordpress.com/2013/03/27/an-informal-version-of-the-furstenberg-correspondence-principle/#comment-251762
Wed, 20 Nov 2013 19:44:01 +0000http://terrytao.wordpress.com/?p=6584#comment-251762Shortly after Example 1 you write “Then one easily sees that the observed string {(c(T^n x_0))_{n=0}^\infty} is nothing more than the original string {(b_i)_{n=0}^\infty}.” I think the original string should be {(a_i)_{n=0}^\infty}

[Corrected, thanks – T.]

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By: Nik Wan
https://terrytao.wordpress.com/2013/03/27/an-informal-version-of-the-furstenberg-correspondence-principle/#comment-222495
Thu, 04 Apr 2013 10:42:37 +0000http://terrytao.wordpress.com/?p=6584#comment-222495I want to be like you. How do you work daily? monthly? seasonally?
Whats your daily routine?
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By: enrico
https://terrytao.wordpress.com/2013/03/27/an-informal-version-of-the-furstenberg-correspondence-principle/#comment-222360
Wed, 03 Apr 2013 16:09:25 +0000http://terrytao.wordpress.com/?p=6584#comment-222360I think that there is a typo in the skew shift representing the quadratic phase sequence. Isn’t it T(x,y) = (x+alpha, y+2x + alpha)?

[Corrected, thanks – T.]

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By: Jon Awbrey
https://terrytao.wordpress.com/2013/03/27/an-informal-version-of-the-furstenberg-correspondence-principle/#comment-221647
Fri, 29 Mar 2013 20:26:17 +0000http://terrytao.wordpress.com/?p=6584#comment-221647In reply to Jon Awbrey.

There is a motivational prelude to the main fugue here:

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By: Jon Awbrey
https://terrytao.wordpress.com/2013/03/27/an-informal-version-of-the-furstenberg-correspondence-principle/#comment-221429
Thu, 28 Mar 2013 15:12:36 +0000http://terrytao.wordpress.com/?p=6584#comment-221429One approach to discrete dynamics is through differential logic, the first elements of which are essayed here: