Matrix models for cyclic monotone and monotone independences

DOI10.1214/24-ECP622MaRDI QIDQ6654851

Noriyoshi Sakuma, Felix Leid, Benoit Collins

Publication date: 20 December 2024

Published in: Electronic Communications in Probability (Search for Journal in Brave)

zbMATH Keywords

random matricesfree probabilitycyclic monotone independence

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Free probability and free operator algebras (46L54)

Cites Work

• Title not available (Why is that?)
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• The monotone cumulants
• Operator-valued chordal Loewner chains and non-commutative probability
• Second order freeness and fluctuations of random matrices. III: Higher order freeness and free cumulants
• Limit distributions of random matrices
• THE FIVE INDEPENDENCES AS NATURAL PRODUCTS
• Monotone convolution semigroups
• Lectures on the Combinatorics of Free Probability
• MONOTONE CONVOLUTION AND MONOTONE INFINITE DIVISIBILITY FROM COMPLEX ANALYTIC VIEWPOINT
• MONOTONIC INDEPENDENCE, MONOTONIC CENTRAL LIMIT THEOREM AND MONOTONIC LAW OF SMALL NUMBERS
• The chordal Loewner equation and monotone probability theory
• THE FIVE INDEPENDENCES AS QUASI-UNIVERSAL PRODUCTS
• MONOTONE INDEPENDENCE, COMB GRAPHS AND BOSE–EINSTEIN CONDENSATION
• Free probability for purely discrete eigenvalues of random matrices
• Monotone increment processes, classical Markov processes, and Loewner chains
• An operad of non-commutative independences defined by trees
• Gaussian random matrix models for \(q\)-deformed Gaussian variables
• Cyclic independence: Boolean and monotone

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