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Riesz measures and Wishart laws associated to quadratic maps
convex cones homogeneous cones Riesz measures Wishart laws
2011/8/22
Abstract: We introduce a natural definition of Riesz measures and Wishart laws associated to an $\Omega$-positive (virtual) quadratic map, where $\Omega \subset \real^n$ is a regular open convex cone....
On the surfaces associated with $\mathbb{C}P^{N-1}$ models
Exactly Solvable and Integrable Systems (nlin.SI) Mathematical Physics (math-ph)
2010/11/10
We study certain new properties of 2D surfaces associated with the $\mathbb{C}P^{N-1}$ models and the wave functions of the corresponding linear spectral problem. We show that $su(N)$-valued immersion...
The Schwarzian variable associated with discrete KdV-type equations
Exactly Solvable and Integrable Systems (nlin.SI)
2010/11/10
We present a new construction related to systems of polynomials which are consistent on a cube. The consistent polynomials underlie the integrability of discrete counterparts of integrable partial dif...