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IJBC
2010
77views more  IJBC 2010»
13 years 2 months ago
Spatio-Temporal Chaos in a Discrete Turing Model
In this paper, a discrete version of a reaction-diffusion equation, also known as coupled map lattice (CML), which corresponds to the Turing model of morphogenesis is studied. It i...
Hunseok Kang
IJFCS
2008
88views more  IJFCS 2008»
13 years 7 months ago
On a Characterization of Cellular Automata in Tilings of the Hyperbolic Plane
In this paper, we look at the extension of Hedlund's characterization of cellular automata to the case of cellular automata in the hyperbolic plane. This requires an addition...
Maurice Margenstern
COMBINATORICS
2007
92views more  COMBINATORICS 2007»
13 years 7 months ago
Compact Hyperbolic Coxeter n-Polytopes with n+3 Facets
We use methods of combinatorics of polytopes together with geometrical and computational ones to obtain the complete list of compact hyperbolic Coxeter npolytopes with n + 3 facet...
Pavel Tumarkin
CORR
2010
Springer
77views Education» more  CORR 2010»
13 years 7 months ago
An upper bound on the number of states for a strongly universal hyperbolic cellular automaton on the pentagrid
In this paper, following the way opened by a previous paper deposited on arXiv, see[7], we give an upper bound to the number of states for a hyperbolic cellular automaton in the pe...
Maurice Margenstern
NIPS
2001
13 years 8 months ago
Hyperbolic Self-Organizing Maps for Semantic Navigation
We introduce a new type of Self-Organizing Map (SOM) to navigate in the Semantic Space of large text collections. We propose a "hyperbolic SOM" (HSOM) based on a regular...
Jörg Ontrup, Helge Ritter