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Loop models, random matrices and planar algebras
Loop models random matrices planar algebras
2011/1/17
We define matrix models that converge to the generating functions of a wide variety of loop models with fugacity taken in sets with an accumu-lation point. The latter can also be seen as moments of a ...
We introduce the concept of weight of a planar algebra P and construct a new planar algebra
referred as the perturbation of P by the weight. We establish a one-to-one correspondence between pivotal s...
Free probability, Planar algebras, Subfactors and Random Matrices
Free probability von Neumann algebra random matrix subfactor planar algebra
2010/11/30
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, invariant under a sym...