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Reinforced random walks and adic transformations - MaRDI portal

Reinforced random walks and adic transformations (Q1960237)

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scientific article; zbMATH DE number 5799413
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Reinforced random walks and adic transformations
scientific article; zbMATH DE number 5799413

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    Reinforced random walks and adic transformations (English)
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    13 October 2010
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    The aim of the present paper is to define and analyze several kinds of adic, Bratelli-Vershic systems such as stationary, symbol-count and reinforced related to walks on a finite, directed, strongly connected graph. The authors managed to give conditions for the natural walk measure to be adic-invariant and moreover to identify the ergodic adic-invariant measures for some classes of examples.
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    reinforced random walks
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    adic transformations
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    invariant measures
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    Eulerian numbers
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    ergodic transformations
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    Bratteli diagrams
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