Fixed point constructions in tilings and cellular automata
Törmä Ilkka
Fixed point constructions in tilings and cellular automata
Törmä Ilkka
Julkaisun pysyvä osoite on:
https://urn.fi/URN:NBN:fi-fe2021110854365
https://urn.fi/URN:NBN:fi-fe2021110854365
Tiivistelmä
The fixed point construction is a method for designing tile sets and cellular automata with highly nontrivial dynamical and computational properties. It produces an infinite hierarchy of systems where each layer simulates the next one. The simulations are implemented entirely by computations of Turing machines embedded in the tilings or spacetime diagrams. We present an overview of the construction and list its applications in the literature.
Kokoelmat
- Rinnakkaistallenteet [19207]