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math.OA2010★ 31 cited
Loop models, random matrices and planar algebras
A. Guionnet, V. F. R. Jones, D. Shlyakhtenko +1
We define matrix models that converge to the generating functions of a wide variety of loop models with fugacity taken in sets with an accumulation point. The latter can also be se…
math.OA2010★ 2 cited
Free probability, Planar algebras, Subfactors and Random Matrices
D. Shlyakhtenko
To a planar algebra P in the sense of Jones we associate a natural non- commutative ring, which can be viewed as the ring of non-commutative polynomials in several indeterminates,…