285 citations · 412 across the 16 of their papers we have counts for
4 papers · 1 filter
Digital calculus and finite groups in quantum mechanics
Vladimir Garcia-Morales
By means of a digit function that has been introduced in a recent formulation of classical and quantum mechanics, we provide a new construction of some infinite families of finite…
Nonlocal and global dynamics of cellular automata: A theoretical computer arithmetic for real continuous maps
Vladimir Garcia-Morales
A digit function is presented which provides the th-digit in base of any real number . By means of this function, formulated within -calculus, the local, non…
Substitution Systems and Nonextensive Statistics
Vladimir Garcia-Morales
Substitution systems evolve in time by generating sequences of symbols from a finite alphabet: At a certain iteration step, the existing symbols are systematically replaced by bloc…
Statistical mechanics and thermodynamics of complex systems
V. Garcia-Morales, J. Pellicer
An unified thermodynamical framework based in the use of a generalized Massieu-Planck thermodynamic potential is proposed and a new formulation of Boltzmann-Gibbs Statistical Mecha…