The Ohio State University Department of Mathematics welcomes: Professor Hillel Furstenberg Hebrew University Member of the National Academy of Sciences, Winner of the Harvey Prize in Mathematics

Lecture Series:
Ergodic Theory and the
Geometry of Fractals
Beginning February 6, 2001
Tuesdays and Thursdays
1:30 p.m. to 3:20 p.m.       Caldwell Lab, Room 120

Week 1:	General Introduction: Fractals, trees and the various notions of dimension. The dynamics of changing scale.
Week 2:	Rudiments of ergodic theory: Ergodic theorems and recurrence theorems
Week 3:	Markov trees, random walks on spaces of measures on Euclidean space. First applications of ergodicity.
Week 4:	Homogeneous fractals and their properties.
Week 5:	Geometric Ramsey theory for fractals and sets of positive logarithmic density. Recurrent measures on Euclidean space.

For additional information, please contact: Vitaly Bergelson, Department of Mathematics,
614-292-7173 or vitaly@math.ohio-state.edu