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expected number 1Kushnirenko conjecture 1positive orthant 1random polynomials 1real zeros 1sparse systems 1

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math.AG2026

On the Number of Real Zeros of Random Sparse Polynomial Systems

Alperen A. Ergür, Máté L. Telek, Josué Tonelli-Cueto

The paper derives an upper bound on the expected number of positive real solutions of a random sparse polynomial system, showing it depends only on the number of terms per polynomi…