96 citations · 208 across the 7 of their papers we have counts for
8 papers
Nash Equilibria in certain two-choice multi-player games played on the ladder graph
Victoria Sánchez Muñoz, Michael Mc Gettrick
In this article we compute analytically the number of Nash Equilibria (NE) for a two-choice game played on a (circular) ladder graph with players. We consider a set of games w…
The role of city geometry in determining the utility of a small urban light rail/tram system
Michael Mc Gettrick
In this work, we show the importance of considering a city's shape, as much as its population density figures, in urban transport planning. We consider in particular cities that ar…
Generic Quantum Walks with Memory
Dan Li, Michael Mc Gettrick, Fei Gao +2
Quantum walks with memory(QWM) are a type of modified quantum walks that record the walker's latest path. As we know, only two kinds of QWM are presented up to now. It is desired t…
One dimensional lazy quantum walks and occupancy rate
Dan Li, Michael Mc Gettrick, Wei-Wei Zhang +1
Lazy quantum walks were presented by Andrew M. Childs to prove that the continuous-time quantum walk is a limit of the discrete-time quantum walk [Commun.Math.Phys.294,581-603(2010…
Quantum walks with memory on cycles
Michael Mc Gettrick, Jarosław Adam Miszczak
We study the model of quantum walks on cycles enriched by the addition of 1-step memory. We provide a formula for the probability distribution and the time-averaged limiting probab…
Alternate two-dimensional quantum walk with a single-qubit coin
C. Di Franco, M. Mc Gettrick, T. Machida +1
We have recently proposed a two-dimensional quantum walk where the requirement of a higher dimensionality of the coin space is substituted with the alternance of the directions in…