Zobrazeno 1 - 10
of 136
pro vyhledávání: '"Free unitary Brownian motion"'
Autor:
DEMNI, NIZAR
Publikováno v:
Journal of Operator Theory, 2017 Jan 01. 78(1), 179-200.
Externí odkaz:
https://www.jstor.org/stable/26432296
Autor:
Demni, Nizar, Hamdi, Tarek
The first part of this paper is devoted to the Brown measure of the product of the free unitary Brownian motion by an arbitrary free non negative operator. Our approach follows the one recently initiated by Driver-Hall-Kemp though there are substanti
Externí odkaz:
http://arxiv.org/abs/2002.04585
Autor:
Demni, Nizar, Hamdi, Tarek
In this paper, we derive explicit expressions for the moments and for the mixed moments of the compression of a free unitary Brownian motion by a free projection. While the moments of this non-normal operator are readily derived using analytical or c
Externí odkaz:
http://arxiv.org/abs/2001.06876
Autor:
Demni, Nizar, Hamdi, Tarek
Publikováno v:
In Journal of Functional Analysis 15 March 2022 282(6)
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Demni, Nizar
This paper is devoted to the computations of some relevant quantities associated with the free unitary Brownian motion. Using the Lagrange inversion formula, we first derive an explicit expression for its alternating star cumulants of even lengths an
Externí odkaz:
http://arxiv.org/abs/1606.03755
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 "calculat
Externí odkaz:
http://arxiv.org/abs/1408.3880
Autor:
Demni, Nizar, Hmidi, Taoufik
Given an orthogonal projection $P$ and a free unitary Brownian motion $Y = (Y_t)_{t \geq 0}$ in a $W^{\star}$-non commutative probability space such that $Y$ and $P$ are $\star$-free in Voiculescu's sense, the main result of this paper states that $P
Externí odkaz:
http://arxiv.org/abs/1302.4844
Autor:
Demni, Nizar, Hmidi, Taoufik
We revisit the description provided by Ph. Biane of the spectral measure of the free unitary Brownian motion. We actually construct for any $t \in (0,4)$ a Jordan curve $\gamma_t$ around the origin, not intersecting the semi-axis $[1,\infty[$ and who
Externí odkaz:
http://arxiv.org/abs/1103.4693
Publikováno v:
In Advances in Applied Mathematics August 2015 69:1-45