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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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     title = {Probability measure near the boundary of tensor power decomposition for $\mathfrak{so}_{2n+1}$},
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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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