Dynamic Entropies, Long-range Correlations and Fluctuations in Complex Linear Structures

Language
en
Document Type
Conference Object
Issue Date
1995-12-01
Authors
Ebeling, Werner
Neiman, Alexander
Pöschel, Thorsten
Editor
Suzuki, Masuo
Kawashima, Naoki
Publisher
World Scientific
ISBN
978-981-4531-52-8
ISBN
978-981-4548-20-5
Abstract

We investigate symbolic sequences and in particular information carriers as e.g. books and DNA{strings. First the higher order Shannon entropies are calculated, a characteristic root law is detected. Then the algorithmic entropy is estimated by using Lempel-Ziv compression algorithms. In the third section the correlation function for distant letters, the low frequency Fourier spectrum and the characteristic scaling exponents are calculated. We show that all these measures are able to detect long{range correlations. However, as demonstrated by shuffling experiments, different measures operate on different length scales. The longest correlations found in our analysis comprise a few hundreds or thousands of letters and may be understood as long-wave fluctuations of the composition.

Journal Title
Coherent Approaches To Fluctuations - Proceedings Of The Hayashibara Forum '95
Citation

DOI: 10.1142/2999

DOI
URN
Faculties & Collections