Multiscaling in Expansion-modification Systems: An Explanation for Long Range Correlation in DNA
Ricardo Mansilla
Electronic mail address: mansilla@fenix.ifisicacu.unam.mx.
Faculty of Mathematics and Computer Science,
University of Havana, Cuba
and
Institute of Physics, UNAM, Mexico
Germinal Cocho
Institute of Physics, UNAM, Mexico
Abstract
Inspired by a model first studied by W. Li in [7], scaling properties of the correlation function for expansion-modification systems are developed. The existence of several characteristic exponents is proved and the relationship of this fact with long-range correlations in DNA is established. Comparison between theoretical exponents and those obtained from numerical experiments and real biological sequences is also included.
