Interacting Strings of Characters

Abstract : We consider several interacting strings of characters. Otherwise speaking, we consider one-dimensional random walks interacting with each other and with their environments (mostly in a one-sided manner). This embraces many applications: queueing networks with different customer types, random walks on some discrete non-commutative groups, random Turing machines and others. We present a scheme for the general theory of such processes, the general theory of random walks in the orthant being a particular case. This scheme is being developed in several papers, a review of which is presented here.
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[Research Report] RR-3057, INRIA. 1996
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Vadim A. Malyshev. Interacting Strings of Characters. [Research Report] RR-3057, INRIA. 1996. 〈inria-00073635〉

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