2 citations · 2 across the 2 of their papers we have counts for
4 papers
Probabilistic Fitting of Topological Structure to Data
James T. Griffin
We define a class of probability distributions that we call simplicial mixture models, inspired by simplicial complexes from algebraic topology. The parameters of these distributio…
Operadic comodules and (co)homology theories
James Griffin
An operad describes a category of algebras and a (co)homology theory for these algebras may be formulated using the homological algebra of operads. A morphism of operads $f:\mathca…
Cacti and filtered distributive laws
Vladimir Dotsenko, James Griffin
Motivated by the second author's construction of a classifying space for the group of pure symmetric automorphisms of a free product, we introduce and study a family of topological…
Diagonal complexes and the integral homology of the automorphism group of a free product
James Griffin
The main goal of this paper is a calculation of the integral (co)homology of the group of symmetric automorphisms of a free product. We proceed by giving a geometric interpretation…