4 citations · 12 across the 4 of their papers we have counts for
4 papers · 1 filter
Enumeration of number-conserving cellular automata rules with two inputs
Henryk Fuks, Kate Sullivan
We show that there exists a one-to-one correspondence between the set of number-conserving cellular automata (CA) with inputs and the set of balanced sequences with terms.…
Catalan numbers and power laws in cellular automaton rule 14
Henryk Fuks, Jeff Haroutunian
We discuss example of an elementary cellular automaton for which the density of ones decays toward its limiting value as a power of the number of iterations . Using the fact tha…
Spatial correlations in SIR epidemic models
Henryk Fukś, Ryan Duchesne, Anna T. Lawniczak
We investigate the role of global mixing in epidemic processes. We first construct a simplified model of the SIR epidemic using a realistic population distribution. Using this mode…
Second order additive invariants in elementary cellular automata
Henryk Fukś
We investigate second order additive invariants in elementary cellular automata rules. Fundamental diagrams of rules which possess additive invariants are either linear or exhibit…