Work

Explicit descriptions of all 1-Meixner random vectors

Year: 2026

Type: preprint

Abstract: The 1-Meixner random vectors consist of $d$ real-valued random variables, having finite moments of all orders, for which the commutators between their joint semi-quantum operators and the multiplication operators that they generate are linear combinations of these multiplication operators and the identity operator. This property of random variables imposes a system of first-order partial differential equations on their joint Laplace transform on a neighborhood of $0$ in a Euclidean $d$-space. We provide explicit descriptions of all solutions of the system just mentioned in every dimension $d$.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.15226

Authors: Catrina, Florin, Derdzinski, Andrzej, Stan, Aurel I.

Institutions: St. John's University, The Ohio State University, The Ohio State University at Marion

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7221786502

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