Theta functions and Brownian motion

DOI10.1007/s10959-019-00977-yzbMath1456.58025OpenAlexW2998077486WikidataQ126412485 ScholiaQ126412485MaRDI QIDQ2224948

Tyrone E. Duncan

Publication date: 4 February 2021

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

Full work available at URL: https://doi.org/10.1007/s10959-019-00977-y

zbMATH Keywords

theta functionsMacdonald identityproduct-sum formulae for theta functions

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Diffusion processes and stochastic analysis on manifolds (58J65) Coalescent processes (60J90)

Cites Work

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• Brownian motion and affine Lie algebras
• Orbital theory for affine Lie algebras
• On Macdonald's \(\eta\)-function formula, the Laplacian and generalized exponents
• The arithmetic theory of loop algebras
• Affine root systems and Dedekind's \(\eta\)-function
• Spherical Functions on a Semisimple Lie Group, I
• Distributions in Hilbert Space and Canonical Systems of Operators
• Laplace operators on semisimple Lie groups
• On Distributions of Certain Wiener Functionals

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