A survey on the effects of free and Boolean convolutions on Cauchy-Stieltjes kernel families
From MaRDI portal
Publication:2152783
DOI10.1214/22-PS10zbMath1494.60020OpenAlexW4285268228MaRDI QIDQ2152783
Publication date: 11 July 2022
Published in: Probability Surveys (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/journals/probability-surveys/volume-19/issue-none/A-survey-on-the-effects-of-free-and-boolean-convolutions/10.1214/22-PS10.full
Characteristic functions; other transforms (60E10) Free probability and free operator algebras (46L54)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On Cauchy-Stieltjes kernel families
- One-sided Cauchy-Stieltjes kernel families
- Fuss-Catalan numbers in noncommutative probability
- Natural real exponential families with cubic variance functions
- Natural exponential families with quadratic variance functions
- The \(2d+4\) simple quadratic natural exponential families on \(\mathbb{R}^ d\)
- Characterization of quadratic Cauchy-Stieltjes kernel families based on the orthogonality of polynomials
- The mean of the reciprocal in a Cauchy-Stieltjes family
- On the Lambert \(w\) function
- Variance function of Boolean additive convolution
- On some properties of Cauchy-Stieltjes kernel families
- FREE EXPONENTIAL FAMILIES AS KERNEL FAMILIES
- On a remarkable semigroup of homomorphisms with respect to free multiplicative convolution
- Limits laws for geometric means of free random variables
- On Λ(p) Sets with Minimal Constant in Discrete Noncommutative Groups
- On the multiplication of free N -tuples of noncommutative random variables
- New limit theorems related to free multiplicative convolution
- Semigroups related to additive and multiplicative, free and Boolean convolutions
- BOOLEAN MULTIPLICATIVE CONVOLUTION AND CAUCHY-STIELTJES KERNEL FAMILIES
- Cauchy–Stieltjes families with polynomial variance functions and generalized orthogonality
- The Law of Large Numbers for the Free Multiplicative Convolution
