English, Article edition: A SPECTRAL METHOD FOR AGGREGATING VARIABLES IN LINEAR DYNAMICAL SYSTEMS WITH APPLICATION TO CELLULAR AUTOMATA RENORMALIZATION MARTIN NILSSON JACOBI; OLOF GÃRNERUP

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Bookmark: http://trove.nla.gov.au/version/18339
Physical Description
  • article
Language
  • English

Edition details

Title
  • A SPECTRAL METHOD FOR AGGREGATING VARIABLES IN LINEAR DYNAMICAL SYSTEMS WITH APPLICATION TO CELLULAR AUTOMATA RENORMALIZATION
Author
  • MARTIN NILSSON JACOBI
  • OLOF GÃRNERUP
Physical Description
  • article
Notes
  • We present a method for identifying coarse-grained dynamics through aggregation of variables or states in linear dynamical systems. The condition for aggregation is expressed as a permutation symmetry of a set of dual eigenvectors of the matrix that defines the dynamics. The applicability of the condition is illustrated in examples from three different generic classes of reducible Markov chains: systems consisting of independent subsystems, dynamics with symmetries, and nearly decoupled Markov chains. Furthermore we show how the method can be used to coarse-grain cellular automata.
  • Lumpability, aggregated Markov chains, aggregation of variables, aggregated linear dynamics, quotient processes, state space reduction, renormalization, coarse-graining, cellular automata
  • RePEc:wsi:acsxxx:v:12:y:2009:i:02:p:131-155
Language
  • English
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