### DIMACS - RUTGERS EXPERIMENTAL MATHEMATICS SEMINAR

Sponsored by the Rutgers University Department of Mathematics and the

Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)

**Co-organizers:**
**Doron Zeilberger**, Rutgers University, zeilberg {at} math [dot] rutgers [dot] edu
**Nathan Fox**, Rutgers University, fox {at} math [dot] rutgers [dot] edu)

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

Abstract:

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.

See: http://www.math.rutgers.edu/~nhf12/expmath/