278 citations · 305 across the 5 of their papers we have counts for
5 papers
Anomalous Scaling and Solitary Waves in Systems with Non-Linear Diffusion
Alex Hansen, Bo-Sture Skagerstam, Glenn Tørå
We study a non-linear convective-diffusive equation, local in space and time, which has its background in the dynamics of the thickness of a wetting film. The presence of a non-lin…
Distinguishing fractional and white noise in one and two dimensions
Alex Hansen, Jean Schmittbuhl, George Batrouni
We discuss the link between uncorrelated noise and Hurst exponent for one and two-dimensional interfaces. We show that long range correlations cannot be observed using one-dimensio…
Asymptotic Distribution of Eigenvalues for a Self-Affine String
Ingve Simonsen, Alex Hansen
We consider a string with fixed endpoints where the mass density and/or the elastic coefficient vary in a self-affine way as function of position. It is demonstrated how the eigenv…
A Fast Algorithm for Generating Long Self-Affine Profiles
Ingve Simonsen, Alex Hansen
We introduce a fast algorithm for generating long self-affine profiles. The algorithm, which is based on the fast wavelet transform, is faster than the conventional Fourier filteri…
Determination of the Hurst Exponent by Use of Wavelet Transforms
Ingve Simonsen, Alex Hansen, Olav Magnar Nes
We propose a new method for (global) Hurst exponent determination based on wavelets. Using this method, we analyze synthetic data with predefined Hurst exponents, fracture surfaces…