Diego Armentano and Jean-Pierre Dedieu (2009)
A note about the average number of real roots of a Bernstein polynomial system
Journal of Complexity, 25(4):339-342.
We prove that the real roots of normal random homogeneous
polynomial systems with n+1 variables and given degrees are, in
some sense, equidistributed in the projective space P(R^{n+1}). From
this fact we compute the average number of real roots of normal
random polynomial systems given in the Bernstein basis.

