18 citations · 37 across the 13 of their papers we have counts for
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math.PR2008★ 1 cited
Duality of real and quaternionic random matrices
Wlodzimierz Bryc, Virgil U. Pierce
We show that quaternionic Gaussian random variables satisfy a generalization of the Wick formula for computing the expected value of products in terms of a family of graphical enum…
nlin.SI2008★ 18 cited
Initial Value Problem of the Whitham Equations for the Camassa-Holm Equation
Tamara Grava, V. U. Pierce, Fei-Ran Tian
We study the Whitham equations for the Camassa-Holm equation. The equations are neither strictly hyperbolic nor genuinely nonlinear. We are interested in the initial value problem…
nlin.SI2008★ 1 cited
The Pfaff lattice on symplectic matrices
Yuji Kodama, Virgil U. Pierce
The Pfaff lattice is an integrable system arising from the SR-group factorization in an analogous way to how the Toda lattice arises from the QR-group factorization. In our recent…