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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive

Teor. Veroyatnost. i Primenen., 2000 Volume 45, Issue 2, Pages 368–374 (Mi tvp469)

This article is cited in 2 papers

Short Communications

Macrodimension: an invariant of local dynamics

V. A. Malyshev

INRIA, France

Abstract: We define a Markov process on the set of countable graphs with spins. Transitions are local substitutions in the graph. It is proved that the scaling macrodimension is an invariant of such dynamics.

Keywords: Markov process, macrodimension, invariant of dynamics.

Received: 16.12.1999

DOI: 10.4213/tvp469


 English version:
Theory of Probability and its Applications, 2001, 45:2, 323–329

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