7 papers
Multifractal aspects of -expansions
Jörg Neunhäuserer
In \cite{[NE]} we introduce -expansions a real numbers in , given by \[ \sum_{i=1}^{\infty}(α-1)^{i-1}α^{-(d_{1}+\dots+d_{i})}\] with and and d…
Topological chaos in the two-gene Andrecut-Kauffman model
Jörg Neunhäuserer
The two-gene Andrecut-Kauffman model describes gene expression within cells by a two-dimensional discrete dynamical system. Using periodic orbits of an one dimensional subsystem we…
On the universality of Somos' constant
Jörg Neunhäuserer
We show that Somos' constant is universal in sense that is similar to the universality of the Khinchin constant. In addition we introduce generalized Somos' constants, which are un…
Nonuniform Markov geometric measures
Jörg Neunhäuserer
We generalize results of Fan and Zhang [6] on absolute continuity and singularity of the golden Markov geometric series to nonuniform stochastic series given by arbitrary Markov pr…
Number theoretical peculiarities in the dimension theory of dynamical systems
Jörg Neunhäuserer
We show that dimensional theoretical properties of dynamical systems can considerably change because of number theoretical peculiarities of some parameter values
Li-Yorke pairs of full Hausdorff dimension for some chaotic dynamical systems
Jörg Neunhäuserer
We show that for some simple classical chaotic dynamical systems the set of Li-Yorke pairs has full Hausdorff dimension on invariant sets.
Fractal attractors induced by β-shifts
Jörg Neunhäuserer
We describe a class of fractal attractors induced by β-shifts. We use a coding by these shifts to show that the systems are mixing with topological entropy log βand have an ergodic…