14 citations · 14 across the 10 of their papers we have counts for
4 papers · 1 filter
Irreducible Rules and Equivalence Classes of One-dimensional Cellular Automata
Martin Schaller, Karl Svozil
One-dimensional cellular automata are discrete dynamical systems that operate on an infinite lattice of sites and are characterized by the locality and uniformity of their update r…
Faithful real embedding of a three-dimensional complex Kochen-Specker configuration
Andrei Khrennikov, Karl Svozil
We describe a phase-adjusted realification procedure that embeds any finite set of rays in C^3 into R^6. By assigning an appropriate phase to each ray before applying the standard…
(FAPP) Infinity Does Macroscopic Irreversibility From Microscopic Reversibility
Karl Svozil
Infinity is central to deriving macroscopic irreversibility from reversible microscopic laws across mathematics, theoretical computer science and physics. In analysis, infinite pro…
Orbits of One-Dimensional Cellular Automata Induced by Symmetry Transformations
Martin Schaller, Karl Svozil
Using a group-theoretic approach, a method for determining the equivalence classes (also called orbits) of the set of rules of one-dimensional cellular automata induced by the symm…