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 |