Complex Analysis in Free Probability Theory

ISBN-13: 9789814335560 / Angielski / Twarda / 2020 / 250 str.

Hari Bercovici; John Williams

Opis

The book will describe those results in free probability which rely on analytic functions of one variable. These results include free versions of many known results about the addition and multiplication of random variables, including characterizations of infinite divisibility and weak limit theorems. The complex analysis necessary for these developments will be presented to the extent that it exceeds standard graduate presentations of the subject.