Property Tau and the Product Replacement Algorithm

COMPUTER SCIENCE/DISCRETE MATH II
Topic:Property Tau and the Product Replacement Algorithm
Speaker:Alex Lubotzky
Affiliation:IAS
Date:Tuesday, September 27
Time/Room:10:30am - 12:30pm/S-101

The product replacement algorithm is a commonly used algorithm to generate a random element in a finite group. While its performance is quite outstanding, its theretical understanding is quite poor. We will present a joint work with Igor Pak (JAMS 2001) which suggests a conceptual way to study this algorithm and gives some partial results. Some quetions and directions developed following that work will also be presented.