[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2005.42.4.857

RELATIVE SEQUENCE ENTROPY PAIRS FOR A MEASURE AND RELATIVE TOPOLOGICAL KRONECKER FACTOR

AHN YOUNG-HO (Department of Mathematics Mokpo National University)
LEE JUNGSEOB (Department of Mathematics Ajou University)
PARK KYEWON KOH (Department of Mathematics Ajou University)

Publication Information

Journal of the Korean Mathematical Society / v.42, no.4, 2005 , pp. 857-869 More about this Journal

Abstract

Let $(X,\;B,\;{\mu},\;T)$ be a dynamical system and (Y, A, v, S) be a factor. We investigate the relative sequence entropy of a partition of X via the maximal compact extension of (Y, A, v, S). We define relative sequence entropy pairs and using them, we find the relative topological ${\mu}-Kronecker$ factor over (Y, v) which is the maximal topological factor having relative discrete spectrum over (Y, v). We also describe the topological Kronecker factor which is the maximal factor having discrete spectrum for any invariant measure.

Keywords

relative sequence entropy; relative sequence entropy pairs; relative weakly mixing; compact extension; relative Kronecker factor; equicontinuous factor; null factor;

Citations & Related Records

Times Cited By Web Of Science : 1 (Related Records In Web of Science)
Times Cited By SCOPUS : 1

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