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Showing 2014Show all
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math.OA2014★ 2 cited
Free analysis and planar algebras
S. Curran, Y. Dabrowski, D. Shlyakhtenko
We study 2-cabled analogs of Voiculescu's trace and free Gibbs states on Jones planar algebras. These states are traces on a tower of graded algebras associated to a Jones planar a…
cs.CE2014★ 36 cited
Calculation of Generalized Polynomial-Chaos Basis Functions and Gauss Quadrature Rules in Hierarchical Uncertainty Quantification
Zheng Zhang, Tarek A. El-Moselhy, Ibrahim +2
Stochastic spectral methods are efficient techniques for uncertainty quantification. Recently they have shown excellent performance in the statistical analysis of integrated circui…