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Measures on periodic orbits for continuous transformations on the interval 

Authors: P. Goacutera a;  W. Byers a; A. Boyarsky a
Affiliation:   a Dept. of Mathematics, Concordia University, Montreal, Canada
DOI: 10.1080/07362999108809239
Publication Frequency: 6 issues per year
Published in: journal Stochastic Analysis and Applications, Volume 9, Issue 3 1991 , pages 263 - 270
Formats available: PDF (English)
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Abstract

Let ./LSAA_A_8809239_O_XML_IMAGES/LSAA_A_8809239_O_ILM0001.gif  be a continuous transformation which is eventually onto, i.e., for any interval I in [o,l] there exists- n such that ./LSAA_A_8809239_O_XML_IMAGES/LSAA_A_8809239_O_ILM0002.gif . Let μ be a [ILM0003]-ergodic measure. Then there exists a sequence of periodic orbits ./LSAA_A_8809239_O_XML_IMAGES/LSAA_A_8809239_O_UM0001.gif  ./LSAA_A_8809239_O_XML_IMAGES/LSAA_A_8809239_O_UM0002.gif 
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