2 papers
math.CO2025
The algebraic structure of Dyson--Schwinger equations with multiple insertion places
Nicholas Olson-Harris, Karen Yeats
We give combinatorially controlled series solutions to Dyson--Schwinger equations with multiple insertion places using tubings of rooted trees and investigate the algebraic relatio…
math.CO2024
Tubings, chord diagrams, and Dyson--Schwinger equations
Paul-Hermann Balduf, Amelia Cantwell, Kurusch Ebrahimi-Fard +3
We give series solutions to single insertion place propagator-type systems of Dyson--Schwinger equations using binary tubings of rooted trees. These solutions are combinatorially t…