Sponsored by the Rutgers University Department of Mathematics and the
Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)

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


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/