2 citations · 2 across the 1 of their papers we have counts for
4 papers
On the tails of FI-modules
Peter Patzt, John D. Wiltshire-Gordon
We study the end-behavior of integer-valued FI-modules. Our first result describes the high degrees of an FI-module in terms of newly defined tail invariants. Our main result provi…
Configuration space in a product
John D. Wiltshire-Gordon
Given a finite graph G and a topological space Z, the graphical configuration space Conf(G, Z) is the space of functions V(G) -> Z so that adjacent vertices map to distinct points.…
On computing the eventual behavior of an FI-module over the rational numbers
John D. Wiltshire-Gordon
We give a formula for the eventual multiplicities of irreducible representations appearing in a finitely-presented FI-module over the rational numbers. The result relies on structu…
Word-Induced Measures on Compact Groups
Gene S. Kopp, John D. Wiltshire-Gordon
Consider a group word w in n letters. For a compact group G, w induces a map G^n \rightarrow G$ and thus a pushforward measure μ_w on G from the Haar measure on G^n. We associate t…