285 citations · 412 across the 16 of their papers we have counts for
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Fractal surfaces from simple arithmetic operations
Vladimir Garcia-Morales
Fractal surfaces ('patchwork quilts') are shown to arise under most general circumstances involving simple bitwise operations between real numbers. A theory is presented for all de…
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…
The fractal decomposition: Nontrivial partitions of conserved physical quantities
Vladimir Garcia-Morales
A mathematical method for constructing fractal curves and surfaces, termed the fractal decomposition, is presented. It allows any function to be split into a finite set of fr…
Digital calculus: Cellular automata dynamics in closed form
Vladimir Garcia-Morales
A simple mathematical expression for the universal map for cellular automata is found in closed form with the help of a digit function, whose most basic properties are established.…