Random algebraic geometry: zeros of
fewnomial systems
Johns Hopkins U., USA
Abstract
|
We discuss the distribution of zeros of
systems of random complex fewnomials. We choose the exponents as well as the
coefficients at random. We obtain asymptotic formulas for the
distribution of zeros as the degrees tend to infinity and we show that the
zeros are self-averaging in the sense that typical systems are close to the average
behavior for large degrees. |