Cumulants for finite free convolution
From MaRDI portal
Publication:1689044
DOI10.1016/j.jcta.2017.11.012zbMath1381.15028arXiv1611.06598OpenAlexW2552291562MaRDI QIDQ1689044
Daniel Perales, Octavio Arizmendi
Publication date: 12 January 2018
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.06598
Random matrices (probabilistic aspects) (60B20) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52)
Related Items (4)
Finite free convolutions of polynomials ⋮ A rectangular additive convolution for polynomials ⋮ Matrix addition and the Dunkl transform at high temperature ⋮ Finite free cumulants: Multiplicative convolutions, genus expansion and infinitesimal distributions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Free convolution with a semicircular distribution and eigenvalues of spiked deformations of Wigner matrices
- Limit laws for random matrices and free products
- Multiplicative functions on the lattice of non-crossing partitions and free convolution
- Analytic subordination theory of operator-valued free additive convolution and the solution of a general random matrix problem
- Free cumulants and enumeration of connected partitions
- Superconvergence to the central limit and failure of the Cramér theorem for free random variables
- Rectangular random matrices, related convolution
- On the asymptotic distribution of block-modified random matrices
- Lectures on the Combinatorics of Free Probability
- Operator-Valued Free Multiplicative Convolution: Analytic Subordination Theory and Applications to Random Matrix Theory
- On the multiplication of free N -tuples of noncommutative random variables
- Strong asymptotic freeness for Wigner and Wishart matrices
- [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
This page was built for publication: Cumulants for finite free convolution
