Random walk and the heat equation on superspace and anyspace

DOI10.1063/1.530868zbMath0808.60090OpenAlexW2041913902MaRDI QIDQ4317981

M. J. Rodríguez-Plaza, Shahn Majid

Publication date: 12 March 1995

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530868

zbMATH Keywords

random walksanyonic diffusion equation

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Other physical applications of random processes (60K40) Groups and algebras in quantum theory (81R99)

Related Items (13)

Entanglement of multipartite fermionic coherent states for pseudo-Hermitian Hamiltonians ⋮ Coherent state quantization of paragrassmann algebras ⋮ Diffusion on braided spaces ⋮ Deformed Exterior Algebra, Quons and their Coherent States ⋮ Multi-mode entangled states represented as Grassmannian polynomials ⋮ Toeplitz operators over the paragrassmann unit disk ⋮ On the differential equation of first and second order in the Zeon algebra ⋮ On the second order differential equation involving two ordinary and one para-Grassmann variable ⋮ Brownian Motion on a Smash Line ⋮ EXTENDED WEYL–HEISENBERG ALGEBRA AND RUBAKOV–SPIRIDONOV SUPERALGEBRA: ANYONIC REALIZATIONS ⋮ Algebraic random walks in the setting of symmetric functions ⋮ Generalized Grassmann variables for quantum kit (k-level) systems and Barut–Girardello coherent states for su(r + 1) algebras ⋮ Quantum diffusions and Appell systems

Cites Work

• Quantum q-white noise and a q-central limit theorem
• Quantum independent increment processes on superalgebras
• Braided groups and algebraic quantum field theories
• QUANTUM RANDOM WALKS AND TIME REVERSAL
• C-statistical quantum groups and Weyl algebras
• Braided momentum in the q-Poincaré group
• Free braided differential calculus, braided binomial theorem, and the braided exponential map

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