3 papers
physics.class-ph2000
The New Science of Complexity
J. L. McCauley
Deterministic chaos, and even maximum computational complexity, have been discovered within Newtonian dynamics. Economists assume that prices and price changes can also obey abstra…
cond-mat.stat-mech2000
The Hentschel-Procaccia Conjecture
J. L. McCauley
Extensive confusion exists and persists in the literature on dynamical systems theory, cosmology, and other fields over spectra of fractal dimensions. Entirely different generating…
astro-ph2000
The Galaxy Distribution: Homogeneous, Fractal, or Neither
J. L. McCauley
From the standpoint of theoretical physics we can treat Newtonian cosmology as a problem in nonlinear dynamics. The attempt to average the density, in search of a method of making…