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On the ergodic theory of synchronized systems

Published online by Cambridge University Press:  03 July 2006

KLAUS THOMSEN
KLAUS THOMSEN
Affiliation:
Institut for Matematiske Fag, Ny Munkegade, 8000 Aarhus C, Denmark (e-mail: matkt@imf.au.dk)
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Abstract

This is a study of the invariant measures of a synchronized subshift (in particular, a sofic shift). Among other results we give necessary and sufficient conditions for the existence of a maximal measure of full support, and a method to determine if the shift is intrinsically ergodic.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 26 , Issue 4 , August 2006 , pp. 1235 - 1256
Copyright
2006 Cambridge University Press

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