3 papers
math.CO2018
Long scale Ollivier-Ricci curvature of graphs
David Cushing, Supanat Kamtue
We study the long scale Ollivier-Ricci curvature of graphs as a function of the chosen idleness. As in the previous work on the short scale, we show that this idleness function is…
math.CO2018
Curvature calculations for antitrees
David Cushing, Shiping Liu, Florentin Münch +1
In this article we prove that antitrees with suitable growth properties are examples of infinite graphs exhibiting strictly positive curvature in various contexts: in the normalize…
math.FA2011
Projectivity of Banach and -algebras of continuous fields
David Cushing, Zinaida A. Lykova
We give necessary and sufficient conditions for the left projectivity and biprojectivity of Banach algebras defined by locally trivial continuous fields of Banach algebras. We iden…