Timeline for binomial coefficients and irrationals
Current License: CC BY-SA 3.0
5 events
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| Jul 29, 2015 at 5:31 | comment | added | Anthony Quas | So I'm pretty sure that this has been asked of a lot of people who were unable to prove the weak mixing (of course there is always the chance that it is well known to someone who knows it well, but that this information has not leaked through to the ergodic theorists, but I think this is unlikely). | |
| Jul 29, 2015 at 0:46 | comment | added | David Handelman | Good guess, Anthony. Vershik's Pascal adic map is the origin of this question---and an affirmative answer would yield that the adic map is weakly mixing. If $\exp 2\pi i \theta$ is in the point spectrum (wrt measurable, not continuous, eigenfunctions), then the answer to the question here for this particular $\theta$ must be false. But I was hoping that this had been done (by number theorists). Rational points in the point spectrum are relatively easy to dispose of. | |
| Jul 29, 2015 at 0:37 | comment | added | Anthony Quas | Very similar questions have arisen in dealing with the "pascal-adic" map. Probably you know this. Karl Petersen likely knows as much as anyone about this. | |
| Jul 29, 2015 at 0:10 | history | edited | David Handelman |
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| Jul 29, 2015 at 0:02 | history | asked | David Handelman | CC BY-SA 3.0 |