3 papers
math.SP2026
Complex analytic theory of Sturm-Liouville operators with Schatten -class resolvents
Guglielmo Fucci, Mateusz Piorkowski, Jonathan Stanfill
We use the theory of entire functions of finite order to prove a universal spectral dependence of the blowup/decay rate of solutions of the Sturm-Liouville eigenvalue equation for…
math.CA2025
-functions via contour integrals and universal sum rules
Guglielmo Fucci, Mateusz Piorkowski, Jonathan Stanfill
This work develops an analytic framework for the study of the -function associated with general sequences of complex numbers. We show that a contour integral representation, co…
math-ph2024
Arctic curves of periodic dimer models and generalized discriminants
Mateusz Piorkowski
We compute the algebraic equation for arctic curves of the Aztec diamond with a doubly (quasi-)periodic weight structure and obtain similar results for certain models of the hexago…