Announcing the

4th Department of Mathematics and Statistics COLLOQUIUM

Day, Date and Time:

Place:

The Speaker:

Title:

Deterministic Representations of Stationary Stochastic Processes

Abstract:

It is shown that the invariant measure of a stationary nonatomic stochastic process may be associated both with an Iterated Function System with probabilities and with a certain dynamical system. The theory provides a framework for information theory, and yields a geometrical approach to the discovery of lossless data compression algorithms. As an example, the transform of Burrows and Wheeler is derived. Finally, an open problem is described.