Sponsored by the Rutgers University Department of Mathematics and the
Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)
Title: Order and Chaos in Some Deterministic Infinite Trigonometric Products
Speaker: Leif Albert, Rutgers Universtiy
Date: Thursday, December 1, 2016 5:00pm
Location: Hill Center, Room 705, Rutgers University, Busch Campus, Piscataway, NJ
An infinite trigonometric product function pondered some years ago by reknowned experimental mathematician Benoit Cloitre is discussed. This product represents a deterministic function which fluctuates seemingly chaotically about a regular trend. A surmise of Cloitre about this trend is proved. It is also shown that Cloitre's product is the characteristic function of the distribution of the endpoints of a random walk that is associated with a random Riemann zeta function.