A super-class walk on upper-triangular matrices

TL;DR: Scheaffer as discussed by the authors presents an introduction to Probability and its applications, with a discussion of the application of probabilistic models in the field of computer science. PWS-Kent, Boston, 1990.

TL;DR: In this article, the authors identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analysis on the group of unipotent uppertriangular matrices with coefficients in a finite field, and the ring of symmetric functions in noncommuting variables.

TL;DR: In this article, a character formula for a supercharacter evaluated at a superclass for pattern groups and more generally for algebra groups is given, where the character is a set of characters which are constant on superclasses.

TL;DR: In this paper, the authors introduce a natural variant of the orbit method, in which the central role is played by certain clusters of coadjoint orbits, which leads to the construction of a subring in the representation ring of U(n, F_q) that is rich in structure but pleasantly comprehensible.

TL;DR: In this article, the authors review the use of kinetically constrained models (KCMs) for the study of dynamics in glassy systems, including spin-facilitated (Ising) models, constrained lattice gases, models inspired by cellular structures such as soap froths, models obtained via mappings from interacting systems without constraints, and related models such as urn, oscillator, tiling and needle models.