Symbol sequences and entropy for piecewise monotone transformations with discontinuities

C. Kopf

doi:10.3934/dcds.2000.6.299

Article Contents

2000, Volume 6, Issue 2: 299-304. Doi: 10.3934/dcds.2000.6.299

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Symbol sequences and entropy for piecewise monotone transformations with discontinuities

C. Kopf^1,

1.
Department of Mathematics, University of Innsbruck, A-6020 Innsbruck

Received: January 31, 1999

Revised: July 31, 1999

Published: March 2000

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Abstract

After introducing a coding definition for the entropy of a piecewise monotone transformation with discontinuities, an algorithm is presented by which the entropy can be determined by the symbol sequences of the separation points.

Keywords:

Symbolic dynamics,
entropy.

Mathematics Subject Classification: 26A18, 39B10, 58F11.

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