Statistical mechanics of cellular automata
S Wolfram - Reviews of modern physics, 1983 - APS
Cellular automata are used as simple mathematical models to investigate self-organization
in statistical mechanics. A detailed analysis is given of" elementary" cellular automata …
in statistical mechanics. A detailed analysis is given of" elementary" cellular automata …
Invertible cellular automata: a review
MIT Laboratory for Computer Science, Cambridge, MA 02139, USA 1.1. Preliminaries puter).
Invertible cellular automata (ICA) are Page 1 Physica D 45 (1990) 229-253 North-Holland …
Invertible cellular automata (ICA) are Page 1 Physica D 45 (1990) 229-253 North-Holland …
Conservative logic
Conservative logic is a comprehensive model of computation which explicitly reflects a
number of fundamental principles of physics, such as the reversibility of the dynamical laws …
number of fundamental principles of physics, such as the reversibility of the dynamical laws …
Reversible computing
T Toffoli - International colloquium on automata, languages, and …, 1980 - Springer
The theory of reversible computing is based on invertible primitives and composition rules
that preserve invertibility. With these constraints, one can still satisfactorily deal with both …
that preserve invertibility. With these constraints, one can still satisfactorily deal with both …
[BOOK][B] Cellular automata machines: a new environment for modeling
T Toffoli, N Margolus - 1987 - books.google.com
Recently, cellular automata machines with the size, speed, and flexibility for general
experimentation at a moderate cost have become available to the scientific community …
experimentation at a moderate cost have become available to the scientific community …
[BOOK][B] Cellular automata and complexity: collected papers
S Wolfram - 2018 - taylorfrancis.com
Are mathematical equations the best way to model nature? For many years it had been
assumed that they were. But in the early 1980s, Stephen Wolfram made the radical proposal …
assumed that they were. But in the early 1980s, Stephen Wolfram made the radical proposal …
Studying artificial life with cellular automata
CG Langton - Physica D: nonlinear phenomena, 1986 - Elsevier
Biochemistry studies the way in which life emerges from the interaction of inanimate
molecules. In this paper we look into the possibility that life could emerge from the …
molecules. In this paper we look into the possibility that life could emerge from the …
Two-dimensional cellular automata
NH Packard, S Wolfram - Journal of Statistical physics, 1985 - Springer
A largely phenomenological study of two-dimensional cellular automata is reported.
Qualitative classes of behavior similar to those in one-dimensional cellular automata are …
Qualitative classes of behavior similar to those in one-dimensional cellular automata are …
Simulating physics with cellular automata
GY Vichniac - Physica D: Nonlinear Phenomena, 1984 - Elsevier
Cellular automata are dynamical systems where space, time, and variables are discrete.
They are shown on two-dimensional examples to be capable of non-numerical simulations …
They are shown on two-dimensional examples to be capable of non-numerical simulations …
Cellular automata as an alternative to (rather than an approximation of) differential equations in modeling physics
T Toffoli - Physica D: Nonlinear Phenomena, 1984 - Elsevier
Cellular automata are models of distributed dynamical systems whose structure is
particularly well suited to ultrafast, exact numerical simulation. On the other hand, they …
particularly well suited to ultrafast, exact numerical simulation. On the other hand, they …