PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Chao Liang.

Title:The Poisson law
Seminar:Slow Pitch Seminar
Speaker:Manfred Denker, Penn State
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