401 citations · 1.2k across the 62 of their papers we have counts for
71 papers
Tonnetz Theory, Classical Harmony, and the Combinatorial Geometry of Abstract Musical Resources
Jeffrey R. Boland, Lane P. Hughston
In a previous submission, we established a fundamental relation between tone networks and configurations. It was shown that the Eulerian tonnetz can be represented by a …
Quantum clock and Newtonian time
Dorje C. Brody, Lane P. Hughston
An extension of standard quantum mechanics is proposed in which the Newtonian time appearing as a parameter in the unitary evolution operator is replaced with the time shown by a `…
Martingale Projections and Quantum Decoherence
Lane P. Hughston, Levent A. Mengütürk
We introduce so-called super/sub-martingale projections as a family of endomorphisms defined on unions of Polish spaces. Such projections allow us to identify martingales as collec…
Configurations, Tessellations and Tone Networks
Jeffrey R. Boland, Lane P. Hughston
The tonnetz, which is commonly represented as a tessellation of the plane by a triangular network of tones, can also be represented as a bipartite graph of degree three with twelve…
Brief Synopsis of the Scientific Career of T. R. Hurd
Matheus R. Grasselli, Lane P. Hughston
As an introduction to a Special Issue of International Journal of Theoretical and Applied Finance in Honour of the Memory of Thomas Robert Hurd we present a brief synopsis of Tom H…
Decoherence Implies Information Gain
Dorje C. Brody, Lane P. Hughston
It is shown that if the wave function of a quantum system undergoes an arbitrary random transformation such that the diagonal elements of the density matrix in the decoherence basi…