Dynamical Systems Seminar

Title: $(3/2)^n$ mod 1, cellular automata, and $\zeta(3)$
Speaker: Hillel Furstenberg
Speaker Info: Hebrew University of Jerusalem
Brief Description:
Special Note:

The integers $[(3/2)^n]$ are known to play a role in the Waring problem. It's natural to ask about the behavior of the fractional parts of $(p/q)^n$, $p>q$. It is believed that these are equidistributed. One is led to study special orbits in cellular automata, and for "linear cellular automata" over finite fields the issues can be resolved. For fields of characteristic 0, one is led to study "Apery-like" sequences, which play a role in the proof of the irrationality of $\zeta(3)$.
Date: Tuesday, December 03, 2019
Time: 4:00pm
Where: Lunt 105
Contact Person: Prof. Bryna Kra
Contact email: kra@math.northwestern.edu
Contact Phone: 847-491-5567
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