Matricial model for the free multiplicative convolution
DOI10.1214/15-AOP1024zbMath1361.15037arXiv1402.5286MaRDI QIDQ317467
Publication date: 30 September 2016
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1402.5286
Lévy processesHermitian matricesrandom matriceshomomorphismfree probabilityunitary matricesadditive convolutioninfinitesly divisible distributionsmultiplicative convolution
Infinitely divisible distributions; stable distributions (60E07) Processes with independent increments; Lévy processes (60G51) Random matrices (probabilistic aspects) (60B20) Free probability and free operator algebras (46L54) Hermitian, skew-Hermitian, and related matrices (15B57) Random matrices (algebraic aspects) (15B52) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Orthogonal matrices (15B10)
Related Items (4)
Cites Work
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- Random matrix models of stochastic integral type for free infinitely divisible distributions
- Local limit theorems for multiplicative free convolutions
- Central limit theorem for the heat kernel measure on the unitary group
- Covariation representations for Hermitian Lévy process ensembles of free infinitely divisible distributions
- A matrix representation of the Bercovici-Pata bijection
- Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
- Perturbation of spectral subspaces and solution of linear operator equations
- Fourier analysis and limit theorems for convolution semigroups on a locally compact group
- Limit laws for random matrices and free products
- Exponentielle stochastique et intégrale multiplicative discontinues. (Discontinuous stochastic exponential and multiplicative integral)
- Lévy-Hinčin type theorems for multiplicative and additive free convolution
- A random matrix model from two dimensional Yang-Mills theory
- Stable laws and domains of attraction in free probability theory
- Lévy flows on manifolds and Lévy processes on Lie groups
- Processes with free increments
- Some properties of crossings and partitions
- Classical and free infinitely divisible distributions and random matrices
- Limit theorems in free probability theory II
- Free convolution operators and free Hall transform
- Schur-Weyl duality and the heat kernel measure on the unitary group
- Free Random Variables
- Limit theorems for free multiplicative convolutions
- Hopf algebras and the logarithm of the $S$-transform in free probability
- Two-dimensional Markovian holonomy fields
- On Sums Modulo 2π of Independent Random Variables
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