3 papers
math.AG2025
Toric extensions of Pólya's theorem
Lorenzo Baldi, Rainer Sinn, Máté L. Telek +1
The classical version of Pólya's theorem provides a simple method for certifying that a homogeneous polynomial of degree d is strictly copositive, that is, it takes only positive v…
math.OC2025
Copositive geometry of Feynman integrals
Bernd Sturmfels, Máté L. Telek
Copositive matrices and copositive polynomials are objects from optimization. We connect these to the geometry of Feynman integrals in physics. The integral is guaranteed to conver…
math.AG2024
Binary geometries from pellytopes
Lara Bossinger, Máté L. Telek, Hannah Tillmann-Morris
Binary geometries have recently been introduced in particle physics in connection with stringy integrals. In this work, we study a class of simple polytopes, called \emph{pellytope…