Limit Theorems in Free Probability Theory

Thursday, April 2, 2015 - 2:00pm - 3:00pm
Lind 305
Gennadiy Chystyakov (Universität Bielefeld)
Based on an analytical approach to the definition of additive free convolution on probability measures on the real line we prove free analogs of limit theorems for sums of independent random variables in classical probability theory. We prove as well free analog of bounds for approximation of n-fold convolutions of probability measures with infinitely divisible probability measures.