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Integration formulas for Brownian motion on classical compact Lie groups
journal contribution
posted on 2023-06-09, 17:13 authored by Antoine DahlqvistCombinatorial formulas for the moments of the Brownian motion on classical compact Lie groups are obtained. These expressions are deformations of formulas of B. Collins and P. Sniady for moments of the Haar measure and yield a proof of the First Fundamental Theorem of invariant theory and of classical Schur–Weyl dualities based on stochastic calculus.
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Publication status
- Published
Journal
Annales de l'Institut Henri Poincaré, Probabilités et StatistiquesISSN
0246-0203Publisher
Institute Henri PoincaréExternal DOI
Issue
4Volume
53Page range
1971-1990Department affiliated with
- Mathematics Publications
Research groups affiliated with
- Probability and Statistics Research Group Publications
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- No
Peer reviewed?
- Yes
Legacy Posted Date
2019-03-25Usage metrics
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