A brief history of cellular automata
P Sarkar - Acm computing surveys (csur), 2000 - dl.acm.org
Cellular automata are simple models of computation which exhibit fascinatingly complex
behavior. They have captured the attention of several generations of researchers, leading to …
behavior. They have captured the attention of several generations of researchers, leading to …
A survey of cellular automata: types, dynamics, non-uniformity and applications
Cellular automata (CAs) are dynamical systems which exhibit complex global behavior from
simple local interaction and computation. Since the inception of cellular automaton (CA) by …
simple local interaction and computation. Since the inception of cellular automaton (CA) by …
Local activity principle: the cause of complexity and symmetry breaking
K Mainzer - Chaos, CNN, Memristors and Beyond: A Festschrift for …, 2013 - World Scientific
The principle of local activity is precisely the missing concept to explain the emergence of
complex patterns in a homogeneous medium. Leon O. Chua discovered and defined this …
complex patterns in a homogeneous medium. Leon O. Chua discovered and defined this …
[PDF][PDF] Pedestrian traffic: simulation and experiments
T Kretz - 2007 - core.ac.uk
In recent years and decades the development of ever more powerful computer hardware
has been accompanied by the evolution of simulational or computer physics as a third …
has been accompanied by the evolution of simulational or computer physics as a third …
Cellular automaton growth on Z2: theorems, examples, and problems
J Gravner, D Griffeath - Advances in Applied Mathematics, 1998 - Elsevier
We survey the phenomenology of crystal growth and asymptotic shape for two-dimensional,
two-state cellular automata. In the most tractable case ofThreshold Growth, a detailed …
two-state cellular automata. In the most tractable case ofThreshold Growth, a detailed …
An introduction to cellular automata: some basic definitions and concepts
M Delorme - Cellular automata: a parallel model, 1999 - Springer
At the beginning of this story is John von Neumann. As far back as 1948 he introduced the
idea of a theory of automata in a conference at the Hixon Symposium, September 1948 (von …
idea of a theory of automata in a conference at the Hixon Symposium, September 1948 (von …
Bulking I: an abstract theory of bulking
M Delorme, J Mazoyer, N Ollinger… - Theoretical Computer …, 2011 - Elsevier
This paper is the first part of a series of two papers dealing with bulking: a quasi-order on
cellular automata comparing space–time diagrams up to some rescaling. Bulking is a …
cellular automata comparing space–time diagrams up to some rescaling. Bulking is a …
Universalities in cellular automata; a (short) survey
N Ollinger - 2008 - hal.science
This reading guide aims to provide the reader with an easy access to the study of
universality in the field of cellular automata. To fulfill this goal, the approach taken here is …
universality in the field of cellular automata. To fulfill this goal, the approach taken here is …
Intrinsic universality of a 1-dimensional reversible cellular automaton
JO Durand-Lose - STACS 97: 14th Annual Symposium on Theoretical …, 1997 - Springer
This paper deals with simulation and reversibility in the context of Cellular Automata (ca).
We recall the definitions of ca and of the Block (bca) and Partitioned (pca) subclasses. We …
We recall the definitions of ca and of the Block (bca) and Partitioned (pca) subclasses. We …
Inducing an order on cellular automata by a grouping operation
J Mazoyer, I Rapaport - Annual Symposium on Theoretical Aspects of …, 1998 - Springer
A grouped instance of a cellular automaton (CA) is another one obtained by grouping
several states into blocks and by letting interact neighbor blocks. Based on this operation a …
several states into blocks and by letting interact neighbor blocks. Based on this operation a …