@article{BET-On-the-Number-of-Real-Zeros-of-Random-Fewnomials,
Title = {On the Number of Real Zeros of Random Fewnomials},
Author = {Peter B\"urgisser and Alperen A. Erg\"ur and Josu\'e Tonelli-Cueto},
Pages = {721--732},
Year = {2019},
Doi = {10.1137/18M1228682},
Journal = {SIAM Journal on Applied Algebra and Geometry},
Volume = {3},
Number = {4},
Abstract = {Consider a system $f_1(x)=0,\ldots,f_n(x)=0$ of $n$ random real polynomial equations in $n$ variables, where each $f_i$ has a prescribed set of exponent vectors described by a set $A\subseteq \mathbb{N}^n$ of cardinality $t$. Assuming that the coefficients of the $f_i$ are independent Gaussians of any variance, we prove that the expected number of zeros of the random system in the positive orthant is bounded from above by $\frac{1}{2^{n-1}}\binom{t}{n}$.},
Url = {https://arxiv.org/abs/1811.09425},
Url2 = {https://epubs.siam.org/doi/10.1137/18M1228682}
}