Departmental Colloquium

DATE:     Friday, 25 February
TIME:     1:10 pm in Weber 223
SPEAKER:  Dr. David S. Broomhead, School of Mathematics, Univ. of
          Manchester,UK
TITLE:    Driving the Cable Equation with Random Pulses

ABSTRACT: This talk is about the cable equation, a well-know PDE model 
which describes the transmission of electical signals in a linear 
conducting, imperfectly-insulated cable. Imagine a uniformly-clocked 
digital system, which transmits symbols via the cable. It will be shown 
that it is possible to model this situation as an iterated function 
system on a Hilbert space, and that this has a compact, global 
attractor. The Hausdorff dimension of this set, which is finite, can be 
calculated and it depends on the rate at which symbols are transmitted.