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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Adler, R.L., Weiss, B. The ergodic infinite measure preserving transformation of boole. Israel J. Math. 16, 263–278 (1973). https://doi.org/10.1007/BF02756706
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DOI: https://doi.org/10.1007/BF02756706