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Cubical token systems

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  • Ovchinnikov, Sergei

Abstract

The paper deals with combinatorial and stochastic structures of cubical token systems. A cubical token system is an instance of a token system, which in turn is an instance of a transition system. A formal theory based on a system of four independent axioms for cubical token systems and main algebraic properties of these systems are introduced. A representation theorem for a cubical token system is established asserting that the graph of such a system is cubical. Stationary distributions for random walks on cubical token systems are calculated.

Suggested Citation

  • Ovchinnikov, Sergei, 2008. "Cubical token systems," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 149-165, September.
  • Handle: RePEc:eee:matsoc:v:56:y:2008:i:2:p:149-165
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