This paper studies the issue of locational market power of su ppliers in a market that is situated on a network. Locational market power arises when locat ion l advantage allows suppliers to act… (More)

Boolean network models have gained popularity in computat ion l systems biology over the last dozen years. Many of these networks use canalizing Boolean f unctions, which has led to increased… (More)

Let W be an arbitrary Coxeter group. If two elements have expressions that are cyclic shifts of each other (as words), then they are conjugate (as group elements) in W . We say that w is cyclically… (More)

We say that a finite asynchronous cellular automaton (or more generally, any sequential dynamical system) is π-independent if its set of periodic points are independent of the order that the local… (More)

Graph dynamical systems (GDSs) generalize concepts such as cellular automata and Boolean networks and can describe a wide range of distributed, nonlinear phenomena. Two GDSs are cycle equivalent if… (More)

A sequential dynamical system , orSDS, consists of an undirected graph Y , a vertexindexed list of local functions FY , and a wordω over the vertex set, containing each vertex at least once, that… (More)

We introduce n(n−1)/2 natural involutions (“toggles”) on the set S of noncrossing partitions π of size n, along with certain composite operations obtained by composing these involutions. We show that… (More)

This paper describes work carried out as part of a PhD research project investigating biomimetic propulsion systems for underwater vehicles at the University of Glasgow. The work focuses on the… (More)