159 citations · 632 across the 22 of their papers we have counts for
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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
The embedding theorem for finite depth subfactor planar algebras
Vaughan F. R. Jones, David Penneys
We define a canonical relative commutant planar algebra from a strongly Markov inclusion of finite von Neumann algebras. In the case of a connected unital inclusion of finite dimen…
math.OA2010★ 25 cited
Quadratic Tangles in Planar Algebras
Vaughan F. R. Jones
In planar algebras, we show how to project certain simple "quadratic" tangles onto the linear space spanned by "linear" and "constant" tangles. We obtain some corollaries about the…