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ON THE DEFINITION OF RELATIVE PRESSURE FOR FACTOR MAPS ON SHIFTS OF FINITE TYPE

Published online by Cambridge University Press:  02 August 2005

KARL PETERSEN  and
SUJIN SHIN
KARL PETERSEN
Affiliation:
Department of Mathematics, CB 3250, Phillips Hall, University of North Carolina, Chapel Hill, NC 27599, USApetersen@math.unc.edu
SUJIN SHIN
Affiliation:
Department of Mathematics, Korea Advanced Institute of Science and Technology, Daejon, 305-701, South Koreasjs@math.kaist.ac.kr
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Abstract

The relationship between two natural definitions of the relative pressure function, for a locally constant potential function and a factor map from a shift of finite type, is clarified by showing that they coincide almost everywhere with respect to every invariant measure. With a suitable extension of one of the definitions, the same holds true for any continuous potential function.

Keywords

37A3537B40 (primary)37B10 (secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 4 , August 2005 , pp. 601 - 612
Copyright
© The London Mathematical Society 2005

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