3 citations · 3 across the 3 of their papers we have counts for
4 papers
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…
The combinatorics of a tree-like functional equation for connected chord diagrams
Lukas Nabergall
We build on recent work of Yeats, Courtiel, and others involving connected chord diagrams. We first derive from a Hopf-algebraic foundation a class of tree-like functional equation…
Insertions Yielding Equivalent Double Occurrence Words
Daniel A. Cruz, Margherita Maria Ferrari, Natasa Jonoska +2
A double occurrence word (DOW) is a word in which every symbol appears exactly twice; two DOWs are equivalent if one is a symbol-to-symbol image of the other. We consider the so ca…
An Antidote for Hawkmoths: On the prevalence of structural chaos in non-linear modeling
Lukas Nabergall, Alejandro Navas, Eric Winsberg
This paper deals with the question of whether uncertainty regarding model structure, especially in climate modeling, exhibits a kind of "chaos." Do small changes in model structure…