1/f noise bib: math model

Giovanni Zanella (2003), "Co-operation of two-state processes and 1/f noise", arXiv preprint, physics/0307011.
[abstract]

Ferdinand Gruneis (2001),
"1/f noise, intermittency and clustering Poisson process",
Fluctuation and Noise Letters, 1(2):R119-R130.
T Antal, M Droz, G Gyorgyi, Z Racz (2001),
"1/f noise and extreme value statistics",
Physical Review Letters, 87(24):240601.
[ PDF]

Tatiana Alieva, Andre Barbe (2000),
"Macroscopic 1/f behavior of fractal signals generated by additive substitution",
IEEE Transactions onn Information Theory, 46(6):2261-2268.
B Kaulakys (2000), "On the inherent origin of 1/f noise", Lithuania Journal of Physics, 40(4):281-286.
B Kaulakys (2000), "On the intrinsic origin of 1/f noise", Microelectronics Reliability, 40(11):1787-1790. B Kaulakys, T Meskauskas (2000), "Models for generation of 1/f noise", Microelectronics Reliability, 40(11):1781-1785.

B Kaulakys (1999),
"Autoregressive model of 1/f noise",
Physics Letters A, 257(1/2):37-42.
[ abstract] [ full text (PDF) ]
Yu E Kuzovlev (1999),
"Kinetical theory beyond conventional approximations and 1/f noise",
preprint.
[ full text (PDF) ]

B Kaulakys and T Meskauskas (1998),
"Modeling 1/f noise",
Physical Review E, 58(6):7013-7019.
[ abstract]

Yu E Kuzovlev (1997),
"Relaxation and 1/f-noise in phonon systems",
Zh. Eksp. Teor. Fiz, 111(6):2086-?.
English translation: Sov.Phys.JETP, 84(6), 1138 (1997).

Edoardo Milotti (1995),
"Linear processes that produce 1/f or flicker noise",
Physical Review E, 51:3087-? .

Yu E Kuzovlev (1994),
"Purely random time partitions and 1/f-noise",
Physics Letters A, 194:285-?.
AL Mladentsev, and AV Yakimov (1994),
"Accuracy of 1/f-like spectrum decomposition on the sum of Lorentzians",
in [ICNF93]

Wavelets, Fractals, and Fourier Transforms

HJ Jensen (1991),
"1/f noise from the linear diffusion equation",
Physica Scripta, 43:593-595.
[ abstract ]

M Duong-Van, MD Feit, GW Hedstrom (1990),
"1/f fluctuations of the damped nonlinear oscillator equation",
Physics Letters A, 147(4):195-198.
[ abstract ]
M Duong-Van (1990),
"The physics of the logistic map in the continuous-time limit",
Physics Letters A, 151(9), 493-499 (1990).
[ abstract]
HJ Jensen (1990),
"Lattice Gas as a Model of 1/f Noise",
Physical Review Letters, 64(26):3103-3106.
J Kertesz and LB Kiss (1990),
"Noise spectrum in the model of self-organized criticality",
Journal of Physics A, 23:L433-?.
VB Orlov and AV Yakimov (1990),
"1/f-spectrum as superposition of a finite number of relaxation spectra",
Radiophys. Quant. Electron, 33:151-?.

LB Kiss and J Hajdu (1989),
"Transient diffusion 1/f noise model", Solid State Communications, 72:799-?.
BJ West, MF Shlesinger (1989),
"On the ubiquity of 1/f noise",
International Journal of Modern Physics B, 3(6):795-819.
[ abstract]

Yu E Kuzovlev (1988),
"Bogolyubov-Born-Green-Kirkwood-Yvon equations, self-diffusion and 1/f-noise in a slightly nonideal gas",
Zh. Eksp. Teor. Fiz, 94(12), 140-?.
English translation: Sov.Phys.JETP, 67(12), 2469-?.

H Furukawa (1987),
"Quasirandomness and k^-d spectra of several objects",
Physical Review A, 35(9):3961-1963.

H Furukawa (1986),
"Universal spectra of quasirandom objects produced by off-equilibrium space divisions",
Physical Review A, 34(3):2315-2323. [ abstract]
H Furukawa (1986),
"1/f spectrum of quasi-random objects",
Progress of Theoretical Physics,75(1):195-197.
F Gruneis, T Musha (1986),
"Clustering Poisson process and 1/f noise",
Japanese Journal of Applied Physics, 25(10):1504-1509.
[ abstract]
F Gruneis, HJ Baiter (1986),
"More detailed explication of a number fluctuation model generating 1/f pattern",
Physica A, 136:432-452.
[ abstract]

GN Bochkov, Yu E Kuzovlev (1985),
"On the theory of 1/f-noise",
Preprint No.195, Scientific-Research Radiophysics Institute, Gorkii, USSR, 1985 (in Russian).
MC Valsakumar, G Ananthakrishna (1985),
"On the role of spatial disorder in 1/f noise and subdiffusive behavior",
Physics Letters A, 112(1,2):43-46.

DS Fisher (1984),
"Random walks in random environments",
Physical Review A, 30(2):960-964.
F Gruneis (1984),
"A number fluctuation model generating 1/f pattern",
Physica A, 123: 149-160.
[ abstract]
K Tomita (1984),
"The significance of the concept 'chaos'",
Progress of Theoretical Physics, supp,79:1-25.

E Marinari, G Parisi, D Ruelle, P Windey (1983),
"Random walk in a random environment and 1/f noise",
Physical Review Letters, 50(17):1223-1225.
[ abstract ]
[see, however, the criticism in Fisher(1984): for 2 or higher dimension, the diffusion is essentially normal, so no 1/f noise]
Yu E Kuzovlev, GN Bochkov (1983),
"On the origin and statistical characteristics of 1/f-noise",
Izvestiya VUZov.-Radiofizika, 26, 310-?. Translation in English in "Radiophysics and Quantum Electronics".
E Marinari, G Parisi, D Ruelle, P Windey (1983),
"On the interpretation of 1/f noise",
Communications of Mathematical Physics, 89:1-12.
EW Montroll, MF Shlesinger (1983),
"Maximum entropy formalism, fractals, scaling phenomena, and 1/f noise: a tale of tails",
Journal of Statistical Physics, 32(2):209-230.
[ abstract]

EW Montroll, MF Shlesinger (1982),
"On 1/f noise and other distributions with long tails",
Proceedings of National Academy of Science (USA), 79:3380-3383.
[ abstract]
Yu E Kuzovlev, GN Bochkov (1982),
"On nature and statistics of 1/f-noise",
Preprint No.157, Scientific-Research Radiophysics Institute, Gorkii, USSR, 1982 (in Russian)

A Ya Shul'man (1981),
"Concerning the nature of the 1/f noise",
Zh. Exp. Theor. Fiz. 81:784-797
[Sov. Phys. JETP v.54, no.2, pp.420-426 (1981)]
[ abstract]
A Ya Shul'man (1981),
"Instrumental spread function in noise spectroscopy and the problem of 1/f noise",
Pis'ma Zh. Tekh. Fiz. v.7, 783-788 (1981).
[Sov. Tech. Phys. Lett. 7(7):337-338 (1981).]

D Halford (1968),
"A general mechanical model for |f|² spectra with special reference to 1/|f| flicker noise",
Proceedings of IEEE, 56:251-258.