5 citations · 10 across the 9 of their papers we have counts for
9 papers
Statistical distributions and entropy considerations in gene codes
Krystyna Lukierska-Walasek, Krzysztof Topolski, Krzysztof Trojanowski
In our paper selected linguistic features of genomes to study the statistics of the gene codes are considered. We present the information theory from which it follows that if the s…
Zipf's law and phase transition
Krystyna Lukierska-Walasek, Krzysztof Topolski
We describe the link between the Zipf law and statistical distributions for the Fortuin-Kasteleyn clusters in Ising as well as Potts models. From these results it is seen that Zipf…
Hyperbolic statistics and entropy loss in the description of gene distributions
K. Lukierska-Walasek, K. Topolski, K. Trojanowski
Zipf's law implies the statistical distributions of hyperbolic type, which can describe the properties of stability and entropy loss in linguistics. We present the information theo…
Some remarks about the domain statistics in the Ising model
K. Lukierska-Walasek, K. Topolski, M. Wodawski
In this paper we describe a relation between the Zipf law and statistical distributions for the Fortuin-Kasteleyn clusters in the Ising model.It has been shown,that histograms for…
Hausdorff dimension and hierarchical system dynamics
K. Lukierska-Walasek, K. Topolski
We show that Hausdorff dimension may be used to distinguish different dynamics of therelaxation in hierarchical systems. We examine the hierarchical systems following the temperatu…
Statistical description of domains in the Potts model
K. Lukierska-Walasek, K. Topolski
The Zipf power law and its connection with the inhomogeneity of the system is investigated. We describe the statistical distributions of the domain masses in the Potts model near t…