Diffusive motion--displacement due to the cumulative effect of irregular fluctuations--has
been a fundamental concept in mathematics and physics since Einstein's work on Brownian …

We define various notions of energy of a set of vertices in a graph, which generalize two of
the most widely studied graphical indices: the Wiener index and the Harary index. We prove …

We begin with the concept of the Western diatonic scale as the union of two tetrachords-an
idea whose historical importance needs no elaboration here. In sections 2 and 3, we first …

This admirably integrated view of both cell surface and actomyosin polarization raises
important questions. For instance, it's not clear how polarization of the membrane and …

Abstract Filtered Point-Symmetry is a tool for manipulating iterated maximally even sets over
time. The dissertation explores how this tool affects our conception of musical networks and …

Convex (concave) interaction weighting functions are combined with circular configurations
of black and white sites to determine configurations that have minimum (maximum) weight …

In this paper, we examine relationships between signature transformations, Filtered Point-
Symmetry (FiPS), and voice-leading spaces, with a strong emphasis on the role of scalar …

Jack Douthett's work over three decades was central to defining an era in mathematical
theory. The present special issue attests to his abiding influence over the field, as well as the …

By extending the formalism of maximally even sets to the one-dimensional antiferromagnetic
Ising model with arbitrary-range interaction in an applied magnetic field it is shown that the …

We extend the theory of maximally even sets to determine the evenness of partitions of the
chromatic universe U c. Interactions measure the average evenness of colour sets …