Multi-variable subordination distributions for free additive convolution
| dc.creator | Nica, Alexandru | |
| dc.date | 2008-10-14 | |
| dc.date | 2008-10-30 | |
| dc.date.accessioned | 2026-07-07T10:13:48Z | |
| dc.date.available | 2026-07-07T10:13:48Z | |
| dc.description | Let k be a positive integer and let D_k denote the space of joint distributions for k-tuples of selfadjoint elements in C*-probability space. The paper studies the concept of "subordination distribution of μ\boxplus νwith respect to ν" for μ, ν\in D_k, where \boxplus is the operation of free additive convolution on D_k. The main tools used in this study are combinatorial properties of R-transforms for joint distributions and a related operator model, with operators acting on the full Fock space Multi-variable subordination turns out to have nice relations to a process of evolution towards \boxplus-infinite divisibility on D_k that was recently found by Belinschi and Nica (arXiv:0711.3787). Most notably, one gets better insight into a connection which this process was known to have with free Brownian motion. | |
| dc.description | Minor modifications and reference added to 1st version. 34 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/0810.2571 | |
| dc.identifier | http://arxiv.org/abs/0810.2571 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172657 | |
| dc.subject | Operator Algebras | |
| dc.subject | Probability | |
| dc.subject | 46L54, 05A18 | |
| dc.title | Multi-variable subordination distributions for free additive convolution | |
| dc.type | text |