Weakly monotone Fock space and monotone convolution of the Wigner law

DOI10.1007/s10959-018-0846-9zbMath1445.46046arXiv1807.07101OpenAlexW2884599508WikidataQ129511814 ScholiaQ129511814MaRDI QIDQ2297323

Janusz Wysoczański, Vitonofrio Crismale, Maria Elena Griseta

Publication date: 18 February 2020

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.07101

zbMATH Keywords

semicircle lawnon-commutative probabilitygeneralized Catalan recurrencesmonotone independence and convolution

Mathematics Subject Classification ID

Partitions of sets (05A18) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Probability theory on algebraic and topological structures (60B99)

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Distributions for nonsymmetric monotone and weakly monotone position operators ⋮ Joint monotone and Boolean numerical and spectral radii of \(d\)-tuples of operators ⋮ Monotone increment processes, classical Markov processes, and Loewner chains ⋮ Unique ergodicity and weakly monotone Fock space

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