| Issue |
Europhys. Lett.
Volume 35, Number 9, September III 1996
|
|
|---|---|---|
| Page(s) | 641 - 646 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i1996-00164-y | |
| Published online | 01 September 2002 | |
Wavelets and multifractality: Application to Anderson localized wave functions
1
Institut für Theoretische Physik III,
Justus-Liebig-Universität, 35392 Giessen, Germany
2
Institut für Theoretische Physik,
Technische Universität - 01062 Dresden, Germany
Received:
5
January
1996
Accepted:
12
August
1996
We discuss a simple method for analysing the local scaling behavior
of the fluctuations of random probability distributions.
The usefulness of the method, based on a discrete wavelet approach,
is illustrated for the case of Anderson localized wave functions,
, in one dimension, for which the standard multifractal
analysis has led to controversial conclusions. The method suggests
that 
is not multifractal in space and has similar
statistical properties as profiles generated by simple random
walks in one dimension.
PACS: 02.50.-r – Probability theory, stochastic processes, and statistics / 05.40.+j – Fluctuation phenomena, random processes, and Brownian motion / 63.20.Pw – Localized modes
© EDP Sciences, 1996
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