The transition rule F of a cellular automaton may sometimes be regarded as a “rule of growth” of a “crystal” from a “seed” ω. For certain such rules, it is shown that the limiting “shape” of such crystals is polyhedral and independent of ω. An algorithm is given for calculation of the limiting shape
Abstract. We systematically study the boundaries of one-dimensional, 2-color cellular automata depen...
We define an analogue of the Gibbs--Curie energy for quasi--crystals. We show that there exists a Wu...
In a roughening process, the growth exponent β describes how the roughness w grows with the time t: ...
The transition rule F of a cellular automaton may sometimes be regarded as a “rule of growth” of a “...
AbstractThe transition rule F of a cellular automaton may sometimes be regarded as a “rule of growth...
In order to optimize a computer implementation of the recursion method, (initially proposed by Heine...
AbstractLet F be the transition rule of an ordered cellular automaton. The author studies the geomet...
We consider discrete-time random perturbations of monotone cellular automata (CA) in two di...
Solids can exist in polygonal shapes with boundaries unions of flat -pieces· called· facets. Analyzi...
Abstract. We study computational properties of linear cellular automata on configurations that diffe...
Abstract. We derive a set of algorithms for simulating the diffusion-limited growth of faceted cryst...
application/pdfIt is shown that, based on the fact that the shape of slowly grown crystal is general...
A cellular automaton (CA) is a collection of colored cells on a grid of specified shape that evolv...
Abstract: "Solids can exist in polygonal shapes with boundaries unions of flat pieces called facets....
Self-assembly is the process in which the components of a system, whether molecules, polymers, or ma...
Abstract. We systematically study the boundaries of one-dimensional, 2-color cellular automata depen...
We define an analogue of the Gibbs--Curie energy for quasi--crystals. We show that there exists a Wu...
In a roughening process, the growth exponent β describes how the roughness w grows with the time t: ...
The transition rule F of a cellular automaton may sometimes be regarded as a “rule of growth” of a “...
AbstractThe transition rule F of a cellular automaton may sometimes be regarded as a “rule of growth...
In order to optimize a computer implementation of the recursion method, (initially proposed by Heine...
AbstractLet F be the transition rule of an ordered cellular automaton. The author studies the geomet...
We consider discrete-time random perturbations of monotone cellular automata (CA) in two di...
Solids can exist in polygonal shapes with boundaries unions of flat -pieces· called· facets. Analyzi...
Abstract. We study computational properties of linear cellular automata on configurations that diffe...
Abstract. We derive a set of algorithms for simulating the diffusion-limited growth of faceted cryst...
application/pdfIt is shown that, based on the fact that the shape of slowly grown crystal is general...
A cellular automaton (CA) is a collection of colored cells on a grid of specified shape that evolv...
Abstract: "Solids can exist in polygonal shapes with boundaries unions of flat pieces called facets....
Self-assembly is the process in which the components of a system, whether molecules, polymers, or ma...
Abstract. We systematically study the boundaries of one-dimensional, 2-color cellular automata depen...
We define an analogue of the Gibbs--Curie energy for quasi--crystals. We show that there exists a Wu...
In a roughening process, the growth exponent β describes how the roughness w grows with the time t: ...
DOI
Add to ORKG