5 papers
Renormalized Wolfram model exhibiting non-relativistic quantum behavior
José Manuel Rodríguez Caballero
We show a Wolfram model whose renormalization generates a sequence of approximations of a wave function having the Pauli-x matrix as Hamiltonian.
Incompatibility between 't Hooft's and Wolfram's models of quantum mechanics
José Manuel Rodríguez Caballero
Stephen Wolfram and Gerard 't Hooft developed classical models of quantum mechanics. We show that the descriptive complexity grows differently as a function of time in each model.…
Homophilic networks evolving by mimesis
Jose Manuel Rodriguez Caballero
We provide a mathematical model for networks based on similarities (homophily) and evolving by mutual imitation (mimesis). We show that such social networks will converge to a stat…
The Thue-Morse substitutions and self-similar groups and algebras
Laurent Bartholdi, José Manuel Rodríguez Caballero, Ahmed Tanbir
We introduce self-similar algebras and groups closely related to the Thue-Morse sequence, and begin their investigation by describing a character on them, the "spread" character.
Elementary number-theoretical statements proved by Language Theory
José Manuel Rodríguez Caballero
We introduce a method to derive theorems from Elementary Number Theory by means of relationships among formal languages. Using -algebras, we define what a proof of a number-theo…