Solar wind 1/f spectra come in two types: a fast/Alfvénic type that follows WKB expansion and migrates in frequency, and a slow/mixed type that behaves like flicker noise.
arXiv preprint physics/0204033 , year=
5 Pith papers cite this work, alongside 150 external citations. Polarity classification is still indexing.
5
Pith papers citing it
150
external citations · Pith
abstract
This is a pedagogical review of the ubiquitous 1/f^\alpha noises. The sections include the representation of 1/f^\alpha noise as a superposition of many relaxation processes; a discussion of the infinitely large fluctuations in the low frequency limit; 1/f^\alpha noise from diffusion processes; the measured statistical properties of 1/f^\alpha noises; 1/f^\alpha noises in self organized criticality; scaling laws in earthquake physics; 1/f noise in deterministic dynamical systems; an example of noise in a biophysical system; the numerical simulation of 1/f^\alpha noise; 1/f noise literature (including online resources).
representative citing papers
Flare-biased interpolation biases periodogram fits in AGN variability studies, and the EMP13 simulation algorithm is often misused so that phase information and red-noise-leak correction are lost.
Flicker-DDPM accelerates DDPM sampling by injecting 1/f colored noise matched to image spectra, achieving similar quality with 3.33 times fewer steps on CIFAR-10.
Exact Gaussian fluctuation calculations for two linearly coupled non-reciprocal fields reveal enhanced k^-4 and k^-6 divergences at critical exceptional points and a mechanism for 1/f noise.
PSD bend timescales in AGN radio light curves match mean durations of brightest flares and correlate with black hole mass over normalized accretion rate.
citing papers explorer
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Two Types of $1/f$ Range in Solar Wind Turbulence
Solar wind 1/f spectra come in two types: a fast/Alfvénic type that follows WKB expansion and migrates in frequency, and a slow/mixed type that behaves like flicker noise.
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Active galactic nucleus time-variability analysis and its caveats
Flare-biased interpolation biases periodogram fits in AGN variability studies, and the EMP13 simulation algorithm is often misused so that phase information and red-noise-leak correction are lost.
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Flicker-DDPM: Accelerating Denoising Diffusion via 1/f Colored Noise Injection
Flicker-DDPM accelerates DDPM sampling by injecting 1/f colored noise matched to image spectra, achieving similar quality with 3.33 times fewer steps on CIFAR-10.
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Gaussian fluctuations of non-reciprocal systems
Exact Gaussian fluctuation calculations for two linearly coupled non-reciprocal fields reveal enhanced k^-4 and k^-6 divergences at critical exceptional points and a mechanism for 1/f noise.
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Connecting the long-term variability behaviour of active galactic nuclei to their central engines
PSD bend timescales in AGN radio light curves match mean durations of brightest flares and correlate with black hole mass over normalized accretion rate.