most citedDensity of Complex Critical Points of a Real Random SO(m+1) Polynomials

6 citations · 10 across the 2 of their papers we have counts for

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2 papers

math-ph2010★ 6 cited

Density of Complex Critical Points of a Real Random SO(m+1) Polynomials

Brian Macdonald

We study the density of complex critical points of a real random SO(m+1) polynomial in m variables. In a previous paper [Mac09], the author used the Poincare- Lelong formula to sho…

math-ph2010★ 4 cited

Density of Complex Zeros of a System of Real Random Polynomials

Brian Macdonald

We study the density of complex zeros of a system of real random SO() polynomials in several variables. We show that the density of complex zeros of this random polynomial sys…