2 citations · 7 across the 9 of their papers we have counts for
10 papers
Deterministic cellular automata resembling diffusion
Henryk Fukś, Sanchala Abeykoon Mudiyanselage
We investigate number conserving cellular automata with up to five inputs and two states with the goal of comparing their dynamics with diffusion. For this purpose, we introduce th…
Mensurae Universales Magnitudinum ac Temporum by Adam Adamandy Kochański -- Latin text with annotated English translation
Henryk Fukś
Annotated parallel text in Latin and English of the paper of Adam Adamandy Kochański "Mensurae universales magnitudinum ac temporum", Acta Eruditorum, p. 259--266, May 1687, in whi…
An example of a deterministic cellular automaton exhibiting linear-exponential convergence to the steady state
Henryk Fukś, Joel Midgley-Volpato
In a recent paper [arXiv:1506.06649 [nlin.CG]], we presented an example of a 3-state cellular automaton which exhibits behaviour analogous to degenerate hyperbolicity often observe…
Mathematical formulae on coins, parts I and II
Henryk Fukś
In the article "The Tale of Two Queens and Two Towering Figures" published in CNJ in 2012 (CNJ vol. 57 No. 5, pp. 304-315), we discussed the contributions of Copernicus and Newton…
Mathematics on coins, part I: The Tale of Two Queens and Two Towering Figures
Henryk Fukś
In the first article in the series examining mathematics on coins, we discuss two great scientists who are not only featured on many coins, but also contributed to both theory and…
A model of language inflection graphs
Henryk Fukś, Babak Farzad, Yi Cao
Inflection graphs are highly complex networks representing relationships between inflectional forms of words in human languages. For so-called synthetic languages, such as Latin or…
An example of degenerate hyperbolicity in a cellular automaton with 3 states
Henryk Fukś, Joel Midgley-Volpato
We show that a behaviour analogous to degenerate hyperbolicity can occur in nearest-neighbour cellular automata (CA) with three states. We construct a 3-state rule by "lifting" ele…
Minimal entropy approximation for cellular automata
Henryk Fukś
We present a method for construction of approximate orbits of measures under the action of cellular automata which is complementary to the local structure theory. The local structu…
"Solutio theorematum" by Adam Adamandy Kochański -- Latin text with annotated English translation
Henryk Fukś
Annotated parallel text in Latin and English of the paper of Adam Adamandy Kochański "Solutio Theorematum Ab illustri Viro in Actis hujus Anni Mense Januario, pag. 28. propositorum…
Observationes Cyclometricae by Adam Adamandy Kochański - Latin text with annotated English translation
Henryk Fukś
Annotated parallel text in Latin and English of the classic paper of Adam Adamandy Kochański "Observationes Cyclometricae", published in Acta Eruditorum 4:394--398 (1685), in which…