Geodesic
Infinite measure preserving flows with infinite ergodic index
Alexandre I. Danilenko 1   ; Anton V. Solomko 2
1 Institute for Low Temperature Physics & Engineering National Academy of Sciences of Ukraine 47 Lenin Ave. Kharkov, 61164, Ukraine
2 Department of Mathematics and Mechanical Engineering Kharkov National University 4 Freedom sq. Kharkov, 61077, Ukraine
Colloquium Mathematicum, Tome 115 (2009) no. 1, pp. 13-19 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We construct a rank-one infinite measure preserving flow $(T_r)_{r\in\Bbb R}$ such that for each $p>0$, the “diagonal” flow $({T_r\times\cdots\times T_r})_{r\in\Bbb R}\,(p\,{\rm times})$ on the product space is ergodic.
DOI : 10.4064/cm115-1-2
Keywords: construct rank one infinite measure preserving flow bbb each diagonal flow times cdots times bbb times product space ergodic

Alexandre I. Danilenko  1   ; Anton V. Solomko  2

1 Institute for Low Temperature Physics & Engineering National Academy of Sciences of Ukraine 47 Lenin Ave. Kharkov, 61164, Ukraine
2 Department of Mathematics and Mechanical Engineering Kharkov National University 4 Freedom sq. Kharkov, 61077, Ukraine 
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Alexandre I. Danilenko; Anton V. Solomko. Infinite measure preserving flows with infinite ergodic index. Colloquium Mathematicum, Tome 115 (2009) no. 1, pp. 13-19. doi: 10.4064/cm115-1-2

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