Algebraic and enumerative combinatorics seminar-Karen Yeats

Tubings of rooted trees and resurgence

Abstract: I will explain about how tubings of rooted trees can solve Dyson-Schwinger equations and how when the Mellin transform is a reciprocal of a polynomial with rational roots, then one can extend the notion of tubings to label the tubes with letters from some alphabets and from there just by standard generatingfunctionology obtain a system of differential equations that is perfectly suited to resurgent analysis.

Joint work with Michael Borinsky and Gerald Dunne, arXiv:2408.15883

There will be NO pre-seminar on September 19.