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A stabilization law for twosemi-infinite interacting strings of characters |
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| Authors: | A.?A.?Yambartsev mailto:yambar@ime.usp.br" title=" yambar@ime.usp.br" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,A.?A.?Zamyatin |
| Affiliation: | (1) Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão 1010, 05508-900 São Paulo, SP, BRASIL;(2) Laboratory of Large Random Systems, Faculty of Mechanics and Mathematics, Moscow State University, 119899 Moscow, RUSSIA |
| Abstract: | We consider a Markov chain that describes the evolution oftwo interacting strings of symbols. The transitionsprobalitities of this Markov chain depend only on the rightmostsymbols of both strings. The main goal of the present paper isto prove a limit theorem (stabilization law): the distributionof the rightmost symbols converges to some limit correlationfunction.1 Partially supported by FAPESP (2002/01501-9) andRFBR (02-01-00415)2 Partially supported by RFBR(02-01-00415) |
| Keywords: | Markov chain stabilization law string of character |
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