Victor Lennon Sepulveda

Discrete approximants, spectrum, and a variational bridge toward the canonical Laplacian on the Menger sponge

This paper develops a reproducible discrete approximation program for the normalized local-symmetric Laplacian on the standard Menger sponge established in Paper A 1.1. It constructs both nodal and cell-based graph approximants, fixes their energy scales through geometrically def...