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math-ph2011★ 2 cited
The master field on the plane
Thierry Lévy
We study the large N asymptotics of the Brownian motions on the orthogonal, unitary and symplectic groups, extend the convergence in non-commutative distribution originally obtaine…
math.CO2011
Prefixes of minimal factorisations of a cycle
Thierry Lévy
We give a bijective proof of the fact that the number of k-prefixes of minimal factorisations of the n-cycle (1...n) as a product of n-1 transpositions is n^{k-1}\binom{n}{k+1}. Ra…