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Ergodic Theory and Dynamical Systems
Volumn 24, Issue 1, 2004, Pages 45-53
Failure of the Roth theorem for solvable groups of exponential growth
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EID: 1542403813     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385703000427     Document Type: Article
Times cited : (26)
References (4)
  • 1
    • 51249172769 scopus 로고
    • Joint ergodicity and mixing
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    • [Be] V. Bergelson and A. Leibman. A nilpotent Roth theorem. Invent. Math. 147(2) (2002), 429-470.
    • (1985) J. d'Analyse Math. , vol.45 , pp. 255-284
    • Berend, B.1
  • 2
    • 51649169500 scopus 로고
    • Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions
    • [F1]
    • [F2] H. Furstenberg. Recurrence in Ergodic Theory and Combinatorial Number Theory. Princeton University Press, Princeton, NJ, 1981.
    • (1977) J. d'Analyse Math. , vol.31 , pp. 204-256
    • Furstenberg, H.1
  • 3
    • 0032221791 scopus 로고    scopus 로고
    • Multiple recurrence theorem for measure preserving actions of a nilpotent group
    • [L]
    • [R] J. Rosenblatt. Invariant measures and growth conditions. Trans. Amer. Math. Soc. 193 (1974), 33-53.
    • (1998) Geom. Funct. Anal. , vol.8 , pp. 853-931
    • Leibman, A.1
  • 4
    • 0039011609 scopus 로고
    • [Sch]. Van Nostrand, Princeton, NJ
    • [Sch] E. Schenkman. Group Theory. Van Nostrand, NJ, 1965.
    • (1965) Group Theory
    • Schenkman, E.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.