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On a parametrization of positive semidefinite matrices with zeros
parametrization positive semidefinite matrices zeros
2010/3/9
We study a class of parametrizations of convex cones of positive
semidefinite matrices with prescribed zeros. Each such cone corresponds to
a graph whose non-edges determine the prescribed zeros. Ea...
The expected number of zeros of a random system of p-adic polynomials
co-area formula Kac-Rice formula localfield Gaussian q-binomial formula
2009/4/23
We study the simultaneous zeros of a random family of d polynomials in d variables over the p-adic numbers.For a family of natural models, we obtain an explicit constant for the expected number of zer...
The expected number of zeros of a random system of p-adic polynomials
random system p-adic polynomials natural models
2009/4/3
We study the simultaneous zeros of a random family of d polynomials in d variables over the p-adic numbers.For a family of natural models, we obtain an explicit constant for the expected number of zer...
Measures with zeros in the inverse of their moment matrix
Moment matrix orthogonal polynomials
2010/4/27
We investigate and discuss when the inverse of a multivariate
truncated moment matrix of a measure μ has zeros in some prescribed
entries. We describe precisely which pattern of these zeroes
corres...