244 citations · 320 across the 15 of their papers we have counts for
17 papers
Example of simplest bifurcation diagram for a monotone family of vector fields on a torus
Claude Baesens, Marc Homs-Dones, Robert S. MacKay
We present an example of a monotone two-parameter family of vector fields on a torus whose bifurcation diagram we demonstrate to be in the class of "simplest" diagrams proposed by…
Shooting function for 1D Schrodinger operators
Robert S MacKay
For Schrodinger operators with suitable 1D potentials, focussing particularly on those that go to infinity at infinity, a characteristic function is constructed, via shooting funct…
Persistence of spectral projections for stochastic operators on large tensor products
Robert S MacKay
In this paper it is proved that for families of stochastic operators on a countable tensor product, depending smoothly on parameters, any spectral projection persists smoothly, whe…
A new stochastic framework for ship capsizing
Manuela L. Bujorianu, Robert S. MacKay, Tobias Grafke +2
We present a new stochastic framework for studying ship capsize. It is a synthesis of two strands of transition state theory. The first is an extension of deterministic transition…
Normal hyperbolicity for non-autonomous oscillators and oscillator networks
Robert S. MacKay
This chapter presents a view of a non-autonomous oscillator as a mapping from input functions of time to a circle of possible solutions (state functions of time). It indicates how…
An Unethical Optimization Principle
Nicholas Beale, Heather Battey, Anthony C. Davison +1
If an artificial intelligence aims to maximise risk-adjusted return, then under mild conditions it is disproportionately likely to pick an unethical strategy unless the objective f…