For more information about this meeting, contact Mary Anne Raymond.

Title: | The Poisson law |

Seminar: | Slow Pitch Seminar |

Speaker: | Manfred Denker, Penn State |

Abstract: |

The Poisson law is an elementary theorem in probability and goes back to Simeon
Denis Poisson (1781-1840). Sometimes the law is called the law of small
numbers, indicating the difference to Bernoulli's law of large numbers.
This law is easy to state: The number of successes in an extremely unfair game
is approximately Poisson distributed, the number of successes being equal to
$k$ has approximately the probability $e^{-\lamba}\frac{\lamda^k}{k!}$ for some
specific $\lambda$.
The importance of this distribution today comes from data analysis, for example
of errors in internet communication or rare occurences of gene sequences, but
also from pure mathematics, where one intends to analyse such behavior in more
complex situations, for example the visits to small sets in measure preserving
dynamical systems. |

### Room Reservation Information

Room Number: | MB114 |

Date: | 03 / 15 / 2012 |

Time: | 05:00pm - 06:00pm |