progress makes the support of the wealth distribution converge to a fractal Cantor-like set. Such limit distribution implies …

prove that intense technological progress makes the support of the wealth distribution converge to a fractal Cantor-like set …

protocols, we demonstrate that they cannot account for the observed scaling patterns in activity fluctuations. We attribute …

with a fixed probability, p. We solve these models exactly in the long time limit to reveal stable time-invariant (scaling …

cannot be obtained by scaling arguments. The (mono-) scaling behaviors of the fractional Fokker–Planck equation and of its …

fractal power laws and scaling will be explained. The main part focuses on the estimation of the tail index as a scaling …

periodically with the same interval. The arrival time T(x) at position x scales as (T(x)-x)∝xdf, where df is the fractal dimension … of Cantor set. The landscape in the plot of T(x)−x against cycle time Ts shows a self-affine fractal with roughness …

traffic did not induce any stress in T. aduncus. In contrast, the scaling exponents of the cumulative probability distribution … boat type. Specifically, the complexity of dive duration patterns (estimated by the scaling exponent ϕ) did not … underestimate the potential consequences of e.g. chronic exposure to low levels of stress. It is finally emphasized that fractal …

region r<ξ, persistent sites form a fractal and the structure evolves in time obeying a dynamical scaling. We discuss such … fractal formation in the context of a reaction–diffusion system in one dimension. …

Applying fractal theory, this paper probes and discusses self-similarity and scale invariance of the Chinese stock … price indexes over time scales. The stock price indexes exhibit fractal time series. It indicates that the policy guide …