### Graduate Student Seminar, 4:30 pm September 26; HH229

#### Speaker:

Chris Porter
#### Title:

Real Numbers and Randomness
#### Abstract:

What does it mean for a real number to be random? Quite a few definitions have
been offered. For instance, one definition of a random real is based on the
Kolmogorov Complexity of the initial segments of its binary expansion. Another
definition has been given in terms of effective measure theory. A third
definition, one concerning certain betting strategies, has also been proposed.
We explore each of these definitions, seeking to determine how they relate to
one another. A few surprises may occur.

If time permits, we may even get our hands on a bona fide random real.

To volunteer to give a talk, or for any other questions regarding this schedule,
contact Sara Miller