Browsing Mathematics (Faculty of) by Supervisor "Nica, Alexandru"
Now showing items 1-3 of 3
-
Brands of cumulants in non-commutative probability, and relations between them
(University of Waterloo, 2022-07-06)The study of non-commutative probability revolves around the different notions of independeces, such as free, Boolean and monotone. To each type of independence one can associate a notion of cumulants that linearize the ... -
Finitary approximations of free probability, involving combinatorial representation theory
(University of Waterloo, 2023-05-18)This thesis contributes to two theories which approximate free probability by finitary combinatorial structures. The first is finite free probability, which is concerned with expected characteristic polynomials of various ... -
A Parallel Study of the Fock Space Approach to Classical and Free Brownian Motion
(University of Waterloo, 2017-08-28)The purpose of this thesis is to elaborate the similarities between the classical and the free probability by means of developing the chaos decomposition of stochastic integrals driven by Brownian motion and its free ...