6 citations · 14 across the 8 of their papers we have counts for
8 papers
Voyage by Catamaran: Effecting Semantic Network "Bricolage" via Infinite-Dimensional Zero-Divisor Ensembles
Robert P. C. de Marrais
Continuing arguments presented [1] or announced [2][3] in "Complex Systems," zero-divisor (ZD) foundations for "scale-free" networks (evinced, in particular, in the "fractality" of…
Placeholder Substructures III: A Bit-String-Driven ''Recipe Theory'' for Infinite-Dimensional Zero-Divisor Spaces
Robert P. C. de Marrais
Zero-divisors (ZDs) derived by Cayley-Dickson Process (CDP) from N-dimensional hypercomplex numbers (N a power of 2, at least 4) can represent singularities and, as N approaches in…
Placeholder Substructures II: Meta-Fractals, Made of Box-Kites, Fill Infinite-Dimensional Skies
Robert P. C. de Marrais
Zero-divisors (ZDs) derived by Cayley-Dickson Process (CDP) from N-dimensional hypercomplex numbers (N a power of 2, at least 4) can represent singularities and, as N approaches in…
Placeholder Substructures I: The Road from NKS to Scale-Free Networks Is Paved with Zero-Divisors
Robert P. C. de Marrais
Zero-divisors (ZDs) derived by Cayley-Dickson Process (CDP) from N-dimensional hypercomplex numbers (N a power of 2, at least 4) can represent singularities and, as N approaches in…
Presto! Digitization, Part I: From NKS Number Theory to "XORbitant" Semantics, by way of Cayley-Dickson Process and Zero-Divisor-based "Representations"
Robert P. C. de Marrais
The objects of the great Nonlinear Revolutions - Catastrophes and Chaos in the 1960s-70s (henceforth, CT); and, small-world and scale-free Network Theory (NT), emerging quite recen…
Box-Kites III: Quizzical Quaternions, Mock Octonions, and Other Zero-Divisor-Suppressing "Sleeper Cell" Structures in the Sedenions and 2^n-ions
Robert P. C. de Marrais
Building on two prior studies of zero-divisors (ZD's) generated by the Cayley-Dickson process, algebras we call "lariats" (Line Algebras of Real and Imaginary Axis Transforms), lin…