This time
Hillel Furstenberg, whose topological proof of the
infinitude of primes[1] is one of my all-time favorites. Here he discusses interesting work that connects number theory (diophantine approximation) to stationary processes and recurrence results in ergodic theory (
almost periodic functions). Eventually, he discusses connections there with current work on ergodicity in fractal geometry. JohnK, if you are lurking, does your work on the spectra of boolean flows have connections to any of this work?
[1] For those inclined, the proof is wonderfully short and summarized well by the Wikipedia page.
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