38 citations · 58 across the 6 of their papers we have counts for
8 papers
Completely Random Measures and Lévy Bases in Free probability
Francesca Collet, Fabrizio Leisen, Steen Thorbjørnsen
This paper develops a theory for completely random measures in the framework of free probability. A general existence result for free completely random measures is established, and…
Uffe Haagerup - His life and mathematics
Mohammad Sal Moslehian, Erling Størmer, Steen Thorbjørnsen +1
In remembrance of Professor Uffe Valentin Haagerup (1949--2015), as a brilliant mathematician, we review some aspects of his life, and his outstanding mathematical accomplishments.
The normal distribution is freely selfdecomposable
Takahiro Hasebe, Noriyoshi Sakuma, Steen Thorbjørnsen
The class of selfdecomposable distributions in free probability theory was introduced by Barndorff-Nielsen and the third named author. It constitutes a fairly large subclass of the…
Unimodality of the freely selfdecomposable probability laws
Takahiro Hasebe, Steen Thorbjornsen
We show that any freely selfdecomposable probability law is unimodal. This is the free probabilistic analog of Yamazato's result in [Ann. Probab. 6 (1978), 523-531].
On the free Gamma distributions
Uffe Haagerup, Steen Thorbjornsen
For each positive number we study the analog in free probability of the classical Gamma distribution with parameter . We prove that is absolutely continuous…
Asymptotic expansions for the Gaussian Unitary Ensemble
Uffe Haagerup, Steen Thorbjørnsen
Let g:{\mathbb R} --> {\mathbb C} be a C^{\infty}-function with all derivatives bounded and let tr_n denote the normalized trace on the n x n matrices. In the paper [EM] Ercolani a…