My current research interests can be summarized as theory and applications of spatially-extended discrete dynamical systems. I am interested in mathematical modeling of physical, biological, and social systems using cellular automata (CA), lattice gas automata (LGA), and agent-based systems. These areas could be categorized as follows:

  • Theory: additive invariants in CA, phase transitions in CA, computation in CA)
  • Modeling: growth of complex networks, models of language acquisition, models of vocabularies of human languages
  • Software: algorithms for CA simulations, algorithms for analysis of complex networks

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