PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Stephen Simpson.

Title:An algorithm to compute pseudo-random numbers in dynamical systems
Seminar:Logic Seminar
Speaker:Manfred Denker, Pennsylvania State University
Abstract:
This talk presents a new method to compute points in a dynamical system for which the ergodic averages approximate the correct means of (continuous) functions. It does not clarify the connection of the algorithm to computability and complexity although I suspect there is some. A simple construction would look for points whose ergodic averages are close to the integrals with respect to the invariant measure (the latter are not known in general). Instead, we use a conformal equation to construct these points and show that their ergodic averages approach the correct integral.

Room Reservation Information

Room Number:MB315
Date:10 / 19 / 2010
Time:02:30pm - 03:45pm