190 citations · 212 across the 7 of their papers we have counts for
7 papers
Entropy for a class of micro-economic models
Robert S MacKay
Chater and MacKay [CM] derived an entropy function of state for exchange economies satisfying a list of axioms, and showed that a change of state of a system of such economies is p…
Motion in Aubry's galaxy
Megha Burri, Robert S. MacKay
The dynamics of a test particle in the field of a model galaxy proposed by Serge Aubry is studied by a combination of theory and numerical computation. Regimes of near-integrable b…
Escape over a saddle by coloured noise: theory and numerics
Jiayao Shao, Tobias Grafke, Robert S. MacKay
Stochastic dynamical systems allow modelling of transitions induced by random disturbances, in particular from an attracting equilibrium and crossing the stable manifold of a saddl…
Circular Directional Flow Decomposition of Networks
Marc Homs-Dones, Robert S. MacKay, Bazil Sansom +1
We introduce the Circular Directional Flow Decomposition (CDFD), a new framework for analyzing circularity in weighted directed networks. CDFD separates flow into two components: a…
Dobrushin and Steif metrics are equal
J. Armstrong-Goodall, R. S. MacKay
It is proved that two useful and apparently different metrics on the set of Borel probabilities on countable products of Polish spaces of bounded diameters are equal. This paves th…
Differential forms for plasma physics
Robert S. MacKay
Differential forms provide a coordinate-free way to express many quantities and relations in mathematical physics. In particular, they are useful in plasma physics. This tutorial g…
Energy thresholds for discrete breathers in one-, two- and three-dimensional lattices
S. Flach, K. Kladko, R. S. MacKay
Discrete breathers are time-periodic, spatially localized solutions of equations of motion for classical degrees of freedom interacting on a lattice. They come in one-parameter fam…