Fractal renewal processes generate 1/fnoise

The Fractal Geometry of Nature

1983 • 22,064 citations

Probability, Random Variables, and Stochastic Processes.

1984 • 16,636 citations

Introduction to Solid State Physics

1953 • 14,116 citations

An Introduction to Probability Theory and its Applications.

1972 • 5,396 citations

The Statistical Analysis of Series of Events

1966 • 1,421 citations

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:mfrac></mml:math>noise and other slow, nonexponential kinetics in condensed matter

1988 • 1,327 citations

Single channel recording

1984 • 981 citations

Semiconductor Surface Physics

1957 • 878 citations

A physical interpretation of dispersive transport in disordered semiconductors

1981 • 735 citations

The Schottky Effect in Low Frequency Circuits

1925 • 413 citations

Unified presentation of 1/f noise in electron devices: fundamental 1/f noise sources

1988 • 301 citations

On the noise spectra of semi-conductor noise and of flicker effect

1950 • 279 citations

Noise in Electronic Devices and Systems

1984 • 251 citations

Transient photoconductivity and photo-induced optical absorption in amorphous semiconductors

1982 • 238 citations

Power-law shot noise

1990 • 235 citations

Flicker Noise in Electronic Devices

1979 • 223 citations

A statistical model of flicker noise

1966 • 216 citations

Physical Properties of Amorphous Materials

1985 • 214 citations

Self-Similar Error Clusters in Communication Systems and the Concept of Conditional Stationarity

1965 • 181 citations

Generic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:mfrac></mml:math>Noise in Chaotic Hamiltonian Dynamics

1987 • 178 citations

Fluctuation phenomena in nerve membrane

1968 • 160 citations

The 1/fFluctuation of a Traffic Current on an Expressway

1976 • 148 citations

Frequency dependent electrical transport in bismuth-modified amorphous germanium sulfide semiconductors

1990 • 73 citations

1/|f| Noise in Physical Measurements

1969 • 68 citations

Doubly stochastic Poisson point process driven by fractal shot noise

1991 • 61 citations

A survey of 1/f noise in electrical conductors

1980 • 49 citations

Using fractals to understand the opening and closing of ion channels

1990 • 37 citations

Fractal shot noise

1989 • 35 citations

Turbulence Theory for the Current Carriers in Solids and a Theory of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:mfrac></mml:math>Noise

1971 • 33 citations

Noise-Induced Trapping at the Boundary between Two Attractors: A Source of 1/ f Spectra in Nonlinear Dynamics

1987 • 27 citations

The Statistical Properties of Sequences of Stochastic Pulses

1961 • 24 citations

Asymptotically Non-Stationary Chaos

1984 • 23 citations

f^-βPower Spectrum and Stable Distribution

1987 • 14 citations

Generalised 1/f shot noise

1989 • 12 citations

Fractal renewal processes as a model of charge transport in amorphous semiconductors

1992 • 11 citations

Membrane pores: a computer simulation of interacting pores analyzed by g1(τ) and g2(τ) correlation functions

1986 • 11 citations

1/fnoise in ad-dimensional hopping model with static disorder

1986 • 10 citations

Multiple-trapping carrier transport due to modulated photogeneration

1990 • 6 citations

Power Spectral Density Estimation of Light Intensity Fluctuations in Photon Counting

1987 • 5 citations