TY - JOUR
A1 - Sabelfeld, Karl
T1 - A stochastic fractal model of the universe related to the fractional Laplacian
Y1 - 2008
DO - 10.23689/fidgeo-851
PB - WIAS
CY - Berlin
N2 - A new stochastic fractal model based on a fractional Laplace equation is developed. Exact representation for the spectral and correlation functions under random boundary excitation are obtained. Randomized spectral expansion is constructed for simulation of the solution of the fractional Laplace equation. We present calculations for 2D and 3D spaces for a series of fractional parameters showing a strong memory effect: the decay of correlations is several order of magnitudes less compared to the conventional Laplace equation model.
UR - http://hdl.handle.net/11858/00-1735-0000-0001-C9F4-E
ER -