3 citations · 3 across the 2 of their papers we have counts for
5 papers
Growth behaviour of periodic tame friezes
Karin Baur, Klemens Fellner, Mark James Parsons +1
We examine the growth behaviour of the entries occurring in -periodic tame friezes of real numbers. Extending \cite{T}, we prove that generalised recursive relations exist betwe…
Endomorphism algebras for a class of negative Calabi-Yau categories
Raquel Coelho Simoes, Mark James Parsons
We consider an orbit category of the bounded derived category of a path algebra of type A_n which can be viewed as a -(m+1)-cluster category, for m >= 1. In particular, we give a c…
Infinite friezes
Karin Baur, Mark James Parsons, Manuela Tschabold
We provide a characterization of infinite frieze patterns of positive integers via triangulations of an infinite strip in the plane. In the periodic case, these triangulations may…
Explicit construction of companion bases
Mark James Parsons
We present a simple procedure for explicitly constructing a companion basis for a quiver mutation equivalent to a simply-laced Dynkin quiver.
Companion bases for cluster-tilted algebras
Mark James Parsons
Motivated by work of Barot, Geiss and Zelevinsky, we study a collection of Z-bases (which we call companion bases) of the integral root lattice of a root system of simply-laced Dyn…