Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4608794 | Journal of Complexity | 2009 | 4 Pages |
Abstract
We prove that the real roots of normal random homogeneous polynomial systems with n+1n+1 variables and given degrees are, in some sense, equidistributed in the projective space P(Rn+1)P(Rn+1). From this fact we compute the average number of real roots of normal random polynomial systems given in the Bernstein basis.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Diego Armentano, Jean-Pierre Dedieu,