Macrodimension: An invariant of local dynamics

DOI10.1137/S0040585X97978269zbMATH Open0982.60073arXiv1201.4295OpenAlexW2081773473MaRDI QIDQ2752958

V. A. Malyshev

Publication date: 22 October 2001

Published in: Theory of Probability and its Applications (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1201.4295

zbMATH Keywords

Markov processinvariant of dynamicsmacrodimension

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

This page was built for publication: Macrodimension: An invariant of local dynamics

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2752958)