Regularity results for free Levy processes
黃皓瑋博士Queen's University, Canada 上午 9:00–10:30 鴻經館 107室Abstract :
The free additive convolution is a binary operation on the set of Borel probability laws on R, which allows us to deduce the law of a sum of free self-adjoint random variables in a non-commutative probability space. In this talk, we will discuss some regularization properties about free additive convolutions. More precisely, we will talk about regularity questions about free additive convolution semigroups, free Levy processes and free infinitely divisible laws. Some recent progresses in free probability theory will be discussed as well.