Littelmann paths and brownian paths
Philippe Biane, Philippe Bougerol, Neil O'Connell
TL;DR
This paper explores the connections between Littelmann path transformations and Brownian motion within Weyl chambers, highlighting their implications for representation theory.
Contribution
It introduces new path transformations linking Littelmann paths to Brownian motion, advancing understanding in both areas.
Findings
Established a correspondence between Littelmann paths and Brownian paths in Weyl chambers
Demonstrated applications to representation theory and stochastic processes
Provided new tools for analyzing paths in algebraic and probabilistic contexts
Abstract
We study some path transformations related to Littelmann path model and their applications to representation theory and Brownian motion in a Weyl chamber.
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Taxonomy
TopicsRandom Matrices and Applications · Advanced Algebra and Geometry · advanced mathematical theories