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- W4300696987 abstract "We introduce several notions of `random fewnomials', i.e. random polynomials with a fixed number f of monomials of degree N. The f exponents are chosen at random and then the coefficients are chosen to be Gaussian random, mainly from the SU(m + 1) ensemble. The results give limiting formulas as N goes to infinity for the expected distribution of complex zeros of a system of k random fewnomials in m variables. When k = m, for SU(m + 1) polynomials, the limit is the Monge-Ampere measure of a toric Kaehler potential on CP^m obtained by averaging a `discrete Legendre transform' of the Fubini-Study symplectic potential at f points of the unit simplex in R^m." @default.
- W4300696987 created "2022-10-04" @default.
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- W4300696987 date "2010-11-15" @default.
- W4300696987 modified "2023-09-23" @default.
- W4300696987 title "Random complex fewnomials, I" @default.
- W4300696987 doi "https://doi.org/10.48550/arxiv.1011.3492" @default.
- W4300696987 hasPublicationYear "2010" @default.
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