93 citations · 803 across the 39 of their papers we have counts for
39 papers
Approximating dynamics of a number-conserving cellular automaton by a finite-dimensional dynamical system
Henryk Fukś, Yucen Jin
The local structure theory for cellular automata (CA) can be viewed as an finite-dimensional approximation of infinitely-dimensional system. While it is well known that this approx…
Four state deterministic cellular automaton rule emulating random diffusion
Henryk Fukś
We show how to construct a deterministic nearest-neighbour cellular automaton (CA) with four states which emulates diffusion on a one-dimensional lattice. The pseudo-random numbers…
Dynamics of large scale networks following a merger
John Clements, Babak Farzad, Henryk Fukś
We study the dynamic network of relationships among avatars in the massively multiplayer online game Planetside 2. In the spring of 2014, two separate servers of this game were mer…
Explicit solution of the Cauchy problem for cellular automaton rule 172
Henryk Fukś
Cellular automata (CA) are fully discrete alternatives to partial differential equations (PDE). For PDEs, one often considers the Cauchy problem, or initial value problem: find the…
Orbits of Bernoulli Measures in Cellular Automata
Henryk Fukś
We discuss how to construct shift-invariant probability measures over the space of bisequences of symbols, and how to describe such measures in terms of block probabilities. We the…
Explorations of ternary cellular automata and ternary density classification problems
H. Fukś, R. Procyk
While binary nearest-neighbour cellar automata (CA) have been studied in detail and from many different angles, the same cannot be said about ternary (three-state) CA rules. We pre…