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Isometric extensions and multiple recurrence of infinite measure preserving systems
Authors:Kokoro Inoue
Affiliation:(1) Faculty of Mathematics, Kyushu University Ropponmatsu, 810-8560 Chuo-ku Fukuoka, Japan
Abstract:
Furstenberg’s multiple recurrence theorem is investigated for infinite measure preserving systems arising from isometric extensions which are 1-factor maps. It will be shown that any isometric extension preservesd-recurrence for alld≥1 and multiple recurrence.
Keywords:
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