Full article: The ergodic theory of cellular automata Skip to Main Content Taylor and Francis
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We introduce and analyze a simple probabilistic cellular automaton which emulates the flow
of cars along a highway. Our Traffic CA captures the essential features of several more …

A deterministic dynamical system is considered. A supporter of the system is a closedchain
of contours. There are N= 2n cells and particles cluster on each contour. Each cluster …

A new class of exclusion type processes acting in continuum with synchronous updating is
introduced and studied. Ergodic averages of particle velocities are obtained and their …

The paper considers a discrete dynamical system containing two contours. There are n cells
and m particles in each contour. At any time, the particles of each contour form a cluster …

In this paper, we study the properties of some elementary automata. We have obtained the
characteristics of these cellular automata. The concept of the spectrum for a more general …

Consider an infinite graph with nodes initially labeled by independent Bernoulli random
variables of parameter p. We want to find a (probabilistic or deterministic) cellular automaton …

The study of discrete model of movement on a single contour, equivalent to CA 184 in terms
of Wolfram cellular automata classification, was conducted in the late 1990s and early …

Qualitative studies of discrete dynamical systems behavior on networks are relevant in many
fields such as system biology, transportation, information traffic, material sciences and so on …

We describe the translation invariant stationary states of the one dimensional discrete-time
facilitated totally asymmetric simple exclusion process (F-TASEP). In this system a particle at …