My current research interests can be summarized as theory and applications of spatially-extended discrete dynamical systems, especially cellular automata (CA). These areas could be categorized as follows:

  • Theory: solvability of CA, orbits of Bernoulli measures under the action of CA, additive invariants in CA, computation in CA)
  • Modeling: models of language acquisition, models of vocabularies of human languages, growth of complex networks
  • Software: algorithms for CA simulations, solving initial value problem for CA with symbolic algebra systems

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