Archive of Technical Documents & Related Material

Defect Movement in Lattice Rewriting Systems

The movement of defects plays a crucial role in macroscopic elasticity, in this post we describe a possible path for obtaining large scale elastic phenomena from microscopic rules. For this we investigate rewrite rules on Bravais lattices that move …

Preserving data moments in density estimation via diffusion using the finite element method

We design a two-dimensional density estimation scheme via diffusion that conserves the first order moments and the total mass in the estimation process. In order to conserve the first order moments and the total mass throughout the time iteration, a …

A digression on Hermite polynomials

Orthogonal polynomials are of fundamental importance in many fields of mathematics and science, therefore the study of a particular family is always relevant. In this manuscript, we present a survey of some general results of the Hermite polynomials …