From the 1 of 4 linked papers with an AI index.
4 papers
Escape over a saddle by coloured noise: theory and numerics
Jiayao Shao, Tobias Grafke, Robert S. MacKay
The paper develops new computational methods to study rare escape events over a saddle point in stochastic systems driven by coloured or degenerate noise, introducing a Hamiltonian…
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…
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…