## Journals

- Advances in Mathematics of Communications
- Big Data & Information Analytics
- Communications on Pure & Applied Analysis
- Discrete & Continuous Dynamical Systems - A
- Discrete & Continuous Dynamical Systems - B
- Discrete & Continuous Dynamical Systems - S
- Evolution Equations & Control Theory
- Inverse Problems & Imaging
- Journal of Computational Dynamics
- Journal of Dynamics & Games
- Journal of Geometric Mechanics
- Journal of Industrial & Management Optimization
- Journal of Modern Dynamics
- Kinetic & Related Models
- Mathematical Biosciences & Engineering
- Mathematical Control & Related Fields
- Mathematical Foundations of Computing
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- Electronic Research Announcements
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DCDS

A transformation of binary sequences that is ergodic and mixing
with respect to the equidistributed measure is constructed
with the help of a cellular automaton.
The transformation is the basic element for a pseudorandom
number generator.
The ratio of the number of seeds that generate equidistributed
sequences to the number of all words goes to one as the length of
words is increased.
The evaluation of a hardware implementation of the generator
confirms the statistical behavior of sequences
as determined from the ergodic properties of the
mathematical model of the generator.
Unpredictability under random search attacks is attained by means of
three coupled transformations.

DCDS

The spectrum of dimensions for Poincaré recurrences of Markov maps
is obtained by constructing a
sequence of approximating maps whose spectra are known to be solution
of non-homogeneous Bowen equations. We prove that the spectrum of the
Markov map also satisfies such an equation.

## Year of publication

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