Brownian motion and affine Kac-Moody algebras
Manon Defosseux
TL;DR
This paper summarizes seven years of research on the relationship between Brownian motion and affine Kac-Moody algebras, highlighting theoretical developments and potential applications in mathematical physics.
Contribution
It provides a comprehensive overview of the author's work connecting stochastic processes with infinite-dimensional Lie algebras.
Findings
Established links between Brownian motion and affine Kac-Moody algebra structures
Developed new mathematical frameworks for stochastic analysis in algebraic contexts
Identified potential applications in theoretical physics and representation theory
Abstract
This is a summary (in French) of my work about brownian motion and Kac-Moody algebras during the last seven years, presented towards the Habilitation degree.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Random Matrices and Applications · Advanced Topics in Algebra