Dong-Sheng Wei

Riesz kernels of hyperbolic polynomials: positivity, admissible exponents and Jordan rigidity

Scott and Sokal asked whether every homogeneous polynomial with the half-plane property has a completely monotone negative power. We answer this question affirmatively and prove the Riesz-positivity conjecture of Micha{\l}ek, Sturmfels, Uhler and Zwiernik, restated by Kozhasov, Micha{\l}ek and Sturmfels: in $n$ variabl...