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Reports (Research Report) Year : 2002

Context Free Evolution of Words

F.I. Karpelevich
  • Function : Author
A.I. Petrov
  • Function : Author
S.A. Pirogov
  • Function : Author
A.N. Rybko
  • Function : Author


Random grammars were introduced in computer science, but the study of their thermodynamic and long time behaviour started only recently. In this paper we undertake more detailed study of context free grammars in the supercritical case, that is when the word grows exponentially fast. We study and calculate the statistics of factors for large t, prove the existence of various limiting measures and study relations between them.


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Dates and versions

inria-00072175 , version 1 (23-05-2006)


  • HAL Id : inria-00072175 , version 1


F.I. Karpelevich, Vadim A. A. Malyshev, A.I. Petrov, S.A. Pirogov, A.N. Rybko. Context Free Evolution of Words. [Research Report] RR-4413, INRIA. 2002. ⟨inria-00072175⟩
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