Colloquium Announcement
Department of Mathematics
West Virginia University

for

Thursday, April 30, 1998, at 3:45pm in 324 Armstrong Hall

(Tea and cookies begin at 3:00 in coffee room.)

Professor Pete Johnson

Auburn University


Measures of information and information flow:
Why many believe that Shannon got it right?

The talk will be suitable for a general audience.

Students are strongly encouraged to participate.

Abstract



In the view of C.E. Shannon, the father of information theory, information is a sort of substance communicated or disclosed by the occurrence of an event in the course of a probabilistic "experiment". He defined the quantity of information disclosed by such an event to be the logarithm (in some base, usually two) of the reciprocal of the prior probability of the event.

We'll see how Shannon apparently arrived at this definition, and look at the brilliant justification of Shannon's definition due to Aczel and Daroczy. We'll also look at two purely mathematical theorems, the Noiseless and Noisy Channel Coding Theorems, as providing philo- sophical evidence in favor of the validity of Shannon's approach.


The information on the future (and past) Colloquia can be also found on web at the address:


http://www.math.wvu.edu/homepages/kcies/colloquium.html