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math-ph2024
Tree-tubings and the combinatorics of resurgent Dyson-Schwinger equations
Michael Borinsky, Gerald V. Dunne, Karen Yeats
We give a novel combinatorial interpretation to the perturbative series solutions for a class of Dyson-Schwinger equations. We show how binary tubings of rooted trees with labels f…
math-ph2020★ 57 cited
Tropical Monte Carlo quadrature for Feynman integrals
Michael Borinsky
We introduce a new method to evaluate algebraic integrals over the simplex numerically. This new approach employs techniques from tropical geometry and exceeds the capabilities of…