Robert Kariotis | Searcharxiv

arXiv2013

Matrix Characterization of Knots: A Simple Statistical Mechanics Application

In this note, I describe a formalism for treating knots as geometric spaces, and make an application to a simple statistical mechanics computation. The motivation for this study is the natural visual symmetry of the knot, and I describe how this might be carried out. The direct approach, however, fails due to limits of the visual symmetry, but by recasting the problem in terms of the geometry of contours of the knot, the resulting permutation operators provide a better analytical tool.

cond-mat.stat-mech↗

arXiv2007

Maximum Entropy, Time Series and Statistical Inference

A brief discussion is given of the traditional version of the Maximum Entropy Method, including a review of some of the criticism that has been made in regard to its use in statistical inference. Motivated by these questions, a modified version of the method is proposed and applied to a simple problem, demonstrating its use in inference.

physics.data-an↗