… algorithm to generate power law noise which we will present in … noise process by the filter
function - here: a power law - that … In order to create power law time series it is necessary to …

… In addition, in Part I1 we will be generating power law noises (generalizations of Brownian
… In addition, noise generation is frequently based upon the desire to simulate a process with …

… , diffusion processes often exhibit power-law tails, and 1 / f noise is power law by definition.
Our applications are chosen from among these naturally occurring power-law dependencies. …

… At this stage, normally distributed noise with … noise magnitude and averaged the powerlaw
parameters β and R2 obtained from log(v) versus log(κ) linear regressions for each noise …

… (CW and CCW) model, whose energy levels fluctuate in time (t) as Y t fluctuates, we show
that temporal fluctuations in Y t can generate a power-law distribution for the durations of the …

… for the deviation from the power law caused by adding uncorrelated Gaussian noise to the …
a statistical approach is used here, assuming the power law to hold exactly in the unperturbed …

… modeling and generating power law noise, with … generating these noises with some distinct
improvements over past techniques. In particular, it should be pointed out that the power law …

… power law behavior. Similarly to the phenomenological volatility models analyzed by LeBaron
(Stochastic volatility as a simple generator of apparent financial power laws … the noise term…

… -smoothed linear threshold function can indeed be approximated by a power law, finding …
best-fit power law decreases with increasing noise level and that the sizes of signal and noise …

… This article studies the scaling limit of a class of shot-noise fields defined on an … with a
power law response function. Under appropriate conditions, it is shown that the shot-noise field …