72 citations · 206 across the 30 of their papers we have counts for
33 papers
A central limit theorem for star-generators of , which relates to traceless CCR-GUE matrices
Jacob Campbell, Claus Köstler, Alexandru Nica
We prove a limit theorem concerning the sequence of star-generators of , where the expectation functional is provided by a character of with weights $(w_1,…
Multiplicative and semi-multiplicative functions on non-crossing partitions, and relations to cumulants
Adrian Celestino, Kurusch Ebrahimi-Fard, Alexandru Nica +2
We consider the group of unitized multiplicative functions in the incidence algebra of non-crossing partitions, where ``'' denotes the convolution operation. W…
Using Boolean cumulants to study multiplication and anticommutators of free random variables
Maxime Fevrier, Mitja Mastnak, Alexandru Nica +1
We study how Boolean cumulants can be used in order to address operations with freely independent random variables, particularly in connection to the -distribution of the produc…
A construction which relates c-freeness to infinitesimal freeness
Maxime Fevrier, Mitja Mastnak, Alexandru Nica +1
We consider two extensions of free probability that have been studied in the research literature, and are based on the notions of c-freeness and respectively of infinitesimal freen…
A central limit theorem for star-generators of , which relates to the law of a GUE matrix
Claus Koestler, Alexandru Nica
It is well-known that, on a purely algebraic level, a simplified algebraic version of the Central Limit Theorem (CLT) can be proved in the framework of a noncommutative probability…
An operator that relates to semi-meander polynomials via a two-sided q-Wick formula
Alexandru Nica, Ping Zhong
We consider the sequence of semi-meander polynomials which are used in the enumeration of semi-meandric systems (a family of diagrams related to the classi…