Autor:	Demni, Nizar, Guay-Paquet, Mathieu, Nica, Alexandru
Rok vydání:	2014
Předmět:	Mathematics - Operator Algebras Mathematics - Combinatorics Mathematics - Probability 46L54
Druh dokumentu:	Working Paper
Popis:	We study joint free cumulants of u_t and u_t^{}, where u_t is a free unitary Brownian motion at time t. We determine explicitly some special families of such cumulants. On the other hand, for a general joint cumulant of u_t and u_t^{}, we "calculate the derivative" for t going to infinity, when u_t approaches a Haar unitary. In connection to the latter calculation we put into evidence an "infinitesimal determining sequence" which naturally accompanies an arbitrary R-diagonal element in a tracial *-probability space. Comment: 35 pages. This version has added details in Sections 5 and 6
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1408.3880 Zobrazit plný text záznamu View this record from Arxiv