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April  2000, 6(2): 299-304. doi: 10.3934/dcds.2000.6.299

Symbol sequences and entropy for piecewise monotone transformations with discontinuities

C. Kopf 1,

1. 

Department of Mathematics, University of Innsbruck, A-6020 Innsbruck, Austria

Received  February 1999 Revised  August 1999 Published  January 2000

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: entropy., Symbolic dynamics.
Mathematics Subject Classification: 26A18, 39B10, 58F1.
Citation: C. Kopf. Symbol sequences and entropy for piecewise monotone transformations with discontinuities. Discrete & Continuous Dynamical Systems, 2000, 6 (2) : 299-304. doi: 10.3934/dcds.2000.6.299
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