Geodesic
Probability measure near the boundary of tensor power decomposition for $\mathfrak{so}_{2n+1}$
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 27, Tome 494 (2020), pp. 219-227 
A.A. Nazarov; V. L. Chizhikova. Probability measure near the boundary of tensor power decomposition for $\mathfrak{so}_{2n+1}$. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 27, Tome 494 (2020), pp. 219-227. http://geodesic.mathdoc.fr/item/ZNSL_2020_494_a9/
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     author = {A.A. Nazarov and V. L. Chizhikova},
     title = {Probability measure near the boundary of tensor power decomposition for $\mathfrak{so}_{2n+1}$},
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     year = {2020},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2020_494_a9/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

Character measure is a probability measure on irreducible representations of a semisimple Lie algebra. It appears from the decomposition into irreducibles of tensor power of a fundamental representation. In this paper we calculate the asymptotics of character measure on representations of $\mathfrak{so}_{2n+1}$ in the regime near the boundary of weight diagram. We find out that it converges to a Poisson-type distribution.

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