q-Lévy processes

DOI10.1515/crll.2004.088zbMath1060.46045arXivmath/0309147OpenAlexW2963760146MaRDI QIDQ4827455

Michael Anshelevich

Publication date: 17 November 2004

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309147

zbMATH Keywords

Lévy processesstochastic integrationFock spacecombinatorial stochastic measures

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Noncommutative probability and statistics (46L53) Quantum stochastic calculus (81S25) Stochastic integrals (60H05) Applications of functional analysis in quantum physics (46N50)

Related Items (12)

Multiple Stratonovich integral and Hu-Meyer formula for Lévy processes ⋮ Q-Gaussian distributions: simplifications and simulations ⋮ Fock space associated with quadrabasic Hermite orthogonal polynomials ⋮ The normal distribution is \(\boxplus\)-infinitely divisible ⋮ Noncommutative Lévy processes for generalized (particularly anyon) statistics ⋮ Explicit forms of \(q\) -deformed Lévy-Meixner polynomials and their generating functions ⋮ Characterizations of some free random variables by properties of conditional moments of third degree polynomials ⋮ Semicircular limits on the free Poisson chaos: counterexamples to a transfer principle ⋮ The bi-Poisson process: A quadratic harness ⋮ Linearization coefficients for orthogonal polynomials using stochastic processes ⋮ Conditional moments of \(q\)-Meixner processes ⋮ Meixner class of non-commutative generalized stochastic processes with freely independent values. I: A characterization

Cites Work

• Unnamed Item
• Orthogonal functionals of independent-increment processes
• Appell polynomials and their relatives

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