The ergodic infinite measure preserving transformation of boole |
| |
| Authors: | Roy. L. Adler Benjamin Weiss |
| |
| Affiliation: | (1) Mathematical Sciences Department, IBM Watson Research Center, Yorktown Heights, New York, U.S.A.;(2) The Hebrew University of Jerusalem, Jerusalem, Israel |
| |
| 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. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
