The ergodic infinite measure preserving transformation of boole

Roy L. Adler; Benjamin Weiss

doi:10.1007/BF02756706

The ergodic infinite measure preserving transformation of boole

Roy L. Adler^*, Benjamin Weiss

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

46 Scopus citations

Abstract

G. Boole proved that the transformation φ of the real line, defined by φ(x)=x-1/x, preserves Lebesgue measure. A general method is applied to proving that φ is ergodic. Some further applications of the method are also indicated.

Original language	English
Pages (from-to)	263-278
Number of pages	16
Journal	Israel Journal of Mathematics
Volume	16
Issue number	3
DOIs	https://doi.org/10.1007/BF02756706
State	Published - Sep 1973

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abstract = "G. Boole proved that the transformation φ of the real line, defined by φ(x)=x-1/x, preserves Lebesgue measure. A general method is applied to proving that φ is ergodic. Some further applications of the method are also indicated.",

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The ergodic infinite measure preserving transformation of boole

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