[图书][B] Traffic distributions and independence: permutation invariant random matrices and the three notions of independence
C Male - 2020 - ams.org
Voiculescu's notion of asymptotic free independence is known for a large class of random
matrices including independent unitary invariant matrices. This notion is extended for …
matrices including independent unitary invariant matrices. This notion is extended for …
Combinatorial theory of permutation-invariant random matrices II: cumulants, freeness and Levy processes
F Gabriel - arXiv preprint arXiv:1507.02465, 2015 - arxiv.org
The $\mathcal {A} $-tracial algebras are algebras endowed with multi-linear forms,
compatible with the product, and indexed by partitions. Using the notion of $\mathcal {A} …
compatible with the product, and indexed by partitions. Using the notion of $\mathcal {A} …
Combinatorial theory of permutation-invariant random matrices I: Partitions, geometry and renormalization
F Gabriel - arXiv preprint arXiv:1503.02792, 2015 - arxiv.org
In this article, we define and study a geometry and an order on the set of partitions of an
even number of objects. One of the definitions involves the partition algebra, a structure of …
even number of objects. One of the definitions involves the partition algebra, a structure of …
Traffic distributions and independence: permutation invariant random matrices and the three notions of independence
C Male - arXiv preprint arXiv:1111.4662, 2011 - arxiv.org
Voiculescu's notion of asymptotic free independence is known for a large class of random
matrices including independent unitary invariant matrices. This notion is extended for …
matrices including independent unitary invariant matrices. This notion is extended for …
Holonomy fields and random matrices: invariance by braids and permutations
F Gabriel - 2016 - theses.hal.science
This thesis focuses on planar Yang-Mills measures and planar Markovian holonomy fields.
We consider two different questions: the study of planar Markovian holonomy fields with …
We consider two different questions: the study of planar Markovian holonomy fields with …