메뉴 건너뛰기




Volumn 20, Issue 1, 2007, Pages 53-97

Universal characteristic factors and furstenberg averages

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33750913592     PISSN: 08940347     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0894-0347-06-00532-7     Document Type: Article
Times cited : (193)

References (33)
  • 1
    • 84974489786 scopus 로고
    • Weakly mixing PET
    • MR0912373 89g:28022
    • Bergelson, V. Weakly mixing PET. Ergodic Theory Dynam. Systems 7 (1987), no. 3, 337-349. MR0912373 (89g:28022)
    • (1987) Ergodic Theory Dynam. Systems , vol.7 , Issue.3 , pp. 337-349
    • Bergelson, V.1
  • 2
    • 0040740052 scopus 로고    scopus 로고
    • Descriptive Set Theory of Polish Group Actions, Cambridge University Press, Cambridge, MR1425877 98d:54068
    • Becker, H.; Kechris, S. The Descriptive Set Theory of Polish Group Actions. London Mathematical Society Lecture Note Series, 232. Cambridge University Press, Cambridge, 1996. MR1425877 (98d:54068)
    • (1996) London Mathematical Society Lecture Note Series , vol.232
    • Becker, H.1    Kechris, S.2
  • 3
    • 51649148795 scopus 로고
    • Pointwise ergodic theorems for arithmetic sets
    • MR1019960 90k:28030
    • Bourgain, J. Pointwise ergodic theorems for arithmetic sets. Inst. Hautes Études Sci. Publ. Math. No. 69 (1989), 5-45. MR1019960 (90k:28030)
    • (1989) Inst. Hautes Études Sci. Publ. Math. , Issue.69 , pp. 5-45
    • Bourgain, J.1
  • 4
    • 0001321723 scopus 로고
    • Théorèmes ergodiques pour des mesures diagonales
    • MR0788966 86i:28019
    • Conze, J. P.; Lesigne, E. Théorèmes ergodiques pour des mesures diagonales. Bull. Soc. Math. France 112 (1984), no. 2, 143-175. MR0788966 (86i:28019)
    • (1984) Bull. Soc. Math. France , vol.112 , Issue.2 , pp. 143-175
    • Conze, J.P.1    Lesigne, E.2
  • 5
    • 0013166143 scopus 로고
    • Sur un théorème ergodique pour des mesures diagonales
    • Publ. Inst. Rech. Math. Rennes, 1, Univ. Rennes I, Rennes, MR0989141 90a:28021
    • Conze, J.-P.; Lesigne, E. Sur un théorème ergodique pour des mesures diagonales. Probabilités, 1-31, Publ. Inst. Rech. Math. Rennes, 1987-1, Univ. Rennes I, Rennes, 1988. MR0989141 (90a:28021)
    • (1987) Probabilités , vol.1-31
    • Conze, J.-P.1    Lesigne, E.2
  • 6
    • 0001232408 scopus 로고
    • Sur un théorème ergodique pour des mesures diagonales
    • MR0939438 89e:22012
    • Conze, J. P.; Lesigne, E. Sur un théorème ergodique pour des mesures diagonales. C. R. Acad. Sci. Paris Sér. I Math. 306 (1988), no. 12, 491-493. MR0939438 (89e:22012)
    • (1988) C. R. Acad. Sci. Paris Sér. I Math. , vol.306 , Issue.12 , pp. 491-493
    • Conze, J.P.1    Lesigne, E.2
  • 7
    • 51649169500 scopus 로고
    • Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions
    • MR0498471 58:16583
    • Furstenberg, H. Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions. J. Analyse Math. 31 (1977), 204-256. MR0498471 (58:16583)
    • (1977) J. Analyse Math. , vol.31 , pp. 204-256
    • Furstenberg, H.1
  • 8
    • 0002907973 scopus 로고    scopus 로고
    • n2 x). Convergence in ergodic theory and probability (Columbus, OH, 1993)
    • de Gruyter, Berlin, MR1412607 98e:28019
    • n2 x). Convergence in ergodic theory and probability (Columbus, OH, 1993), 193-227, Ohio State Univ. Math. Res. Inst. Publ. 5, de Gruyter, Berlin, 1996. MR1412607 (98e:28019)
    • (1996) Ohio State Univ. Math. Res. Inst. Publ. , vol.5 , pp. 193-227
    • Furstenberg, H.1    Weiss, B.2
  • 10
    • 0035618488 scopus 로고    scopus 로고
    • A new proof of Szemeredi's theorem
    • MR1844079 2002k:11014
    • Gowers, T. A new proof of Szemeredi's theorem. GAFA 11 (2001), 465-588. MR1844079 (2002k:11014)
    • (2001) GAFA , vol.11 , pp. 465-588
    • Gowers, T.1
  • 11
    • 84871130932 scopus 로고    scopus 로고
    • The primes contain arbitrarily long arithmetic progressions
    • Green, B.; Tao, T. The primes contain arbitrarily long arithmetic progressions. To appear Ann. of Math.
    • To Appear Ann. of Math.
    • Green, B.1    Tao, T.2
  • 12
    • 0039192901 scopus 로고    scopus 로고
    • Convergence of Conze-Lesigne averages
    • DOI 10.1017/S0143385701001249
    • Host, B.; Kra, B. Convergence of Conze-Lesigne averages. Ergodic Theory Dynam. Systems 21 (2001), no. 2, 493-509. MR1827115 (2002d:28007) (Pubitemid 33588238)
    • (2001) Ergodic Theory and Dynamical Systems , vol.21 , Issue.2 , pp. 493-509
    • Host, B.1    Bryna, K.2
  • 13
    • 0036352027 scopus 로고    scopus 로고
    • An odd Furstenberg-Szemerédi theorem and quasi-affine systems
    • MR1894481 2003a:37003
    • Host, B.; Kra, B. An odd Furstenberg-Szemerédi theorem and quasi-affine systems. J. Analyse Math. 86 (2002), 183-220. MR1894481 (2003a:37003)
    • (2002) J. Analyse Math. , vol.86 , pp. 183-220
    • Host, B.1    Kra, B.2
  • 14
    • 77950558014 scopus 로고    scopus 로고
    • personal communication
    • Host, B.; Kra, B. personal communication.
    • Host, B.1    Kra, B.2
  • 15
    • 23444458042 scopus 로고    scopus 로고
    • Non-conventional ergodic averages and nilmanifolds
    • MR2150389
    • Host, B.; Kra, B. Non-conventional ergodic averages and nilmanifolds. Ann. of Math. 161, 1 (2005) 397-488. MR2150389
    • (2005) Ann. of Math. , vol.161 , Issue.1 , pp. 397-488
    • Host, B.1    Kra, B.2
  • 16
    • 0001524188 scopus 로고
    • Sur les groupes nilpotents et les anneaux de Lie
    • MR0088496 19:529b
    • Lazard, M. Sur les groupes nilpotents et les anneaux de Lie. Ann. Sci. Ecole Norm. Sup. (3) 71 (1954), 101-190. MR0088496 (19:529b)
    • (1954) Ann. Sci. Ecole Norm. Sup , vol.71 , Issue.3 , pp. 101-190
    • Lazard, M.1
  • 17
    • 0000165015 scopus 로고    scopus 로고
    • Polynomial Sequences in Groups
    • DOI 10.1006/jabr.1997.7269, PII S0021869397972690
    • Leibman, A. Polynomial sequences in groups. J. Algebra 201 (1998), no. 1, 189-206. MR1608723 (99c:20044) (Pubitemid 128347429)
    • (1998) Journal of Algebra , vol.201 , Issue.1 , pp. 189-206
    • Leibman, A.1
  • 18
    • 13444272018 scopus 로고    scopus 로고
    • Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold
    • DOI 10.1017/S0143385704000215
    • Leibman, A. Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold. Ergodic Theory Dynam. Systems, (2005), no. 1, 201-213. MR2122919 (Pubitemid 40217215)
    • (2005) Ergodic Theory and Dynamical Systems , vol.25 , Issue.1 , pp. 201-213
    • Leibman, A.1
  • 19
    • 0003305954 scopus 로고
    • Résolution d'une équation fonctionnelle
    • MR0788967 86k:22018
    • Lesigne, E. Résolution d'une équation fonctionnelle. Bull. Soc. Math. France 112 (1984), no. 2, 177-196. MR0788967 (86k:22018)
    • (1984) Bull. Soc. Math. France , vol.112 , Issue.2 , pp. 177-196
    • Lesigne, E.1
  • 20
    • 23744439315 scopus 로고
    • Théorèmes ergodiques ponctuels pour des mesures diagonales. Cas des systèmes distaux
    • MR0928005 89h:28032
    • Lesigne, E. Théorèmes ergodiques ponctuels pour des mesures diagonales. Cas des systèmes distaux. Ann. Inst. H. Poincaré Probab. Statist. 23 (1987), no. 4, 593-612. MR0928005 (89h:28032)
    • (1987) Ann. Inst. H. Poincaré Probab. Statist. , vol.23 , Issue.4 , pp. 593-612
    • Lesigne, E.1
  • 21
    • 84974220827 scopus 로고
    • Théorèmes ergodiques pour une translation sur une nilvariété
    • MR0991492 90e:58086
    • Lesigne, E. Théorèmes ergodiques pour une translation sur une nilvariété. Ergodic Theory Dynam. Systems 9 (1989), no. 1, 115-126. MR0991492 (90e:58086)
    • (1989) Ergodic Theory Dynam. Systems , vol.9 , Issue.1 , pp. 115-126
    • Lesigne, E.1
  • 22
    • 0010179154 scopus 로고
    • Équations fonctionelles, couplages de produits gauches et théorèmes ergodiques pour mesures diagonales
    • MR1242635 94m:28029
    • Lesigne, E. Équations fonctionelles, couplages de produits gauches et théorèmes ergodiques pour mesures diagonales. Bull. Soc. Math. France 121 (1993), no. 3, 315-351. MR1242635 (94m:28029)
    • (1993) Bull. Soc. Math. France , vol.121 , Issue.3 , pp. 315-351
    • Lesigne, E.1
  • 25
    • 0003831421 scopus 로고
    • Cambridge Studies in Advanced Mathematics, Cambridge University Press, Cambridge, MR0833286 87i:28002
    • Peterson, C. Ergodic Theory, Cambridge Studies in Advanced Mathematics, 2. Cambridge University Press, Cambridge, 1983. MR0833286 (87i:28002)
    • (1983) Ergodic Theory , vol.2
    • Peterson, C.1
  • 26
    • 0007201947 scopus 로고
    • Ergodic properties of affine transformations and flows on nilmanifolds
    • MR0260975 41:5595
    • Parry, W. Ergodic properties of affine transformations and flows on nilmanifolds. Amer. J. Math. 91 (1969), 757-771. MR0260975 (41:5595)
    • (1969) Amer. J. Math. , vol.91 , pp. 757-771
    • Parry, W.1
  • 27
    • 0010966450 scopus 로고
    • Dynamical systems on nilmanifolds
    • MR0267558 42:2460
    • Parry, W. Dynamical systems on nilmanifolds. Bull. London Math. Soc. 2 (1970), 37-40. MR0267558 (42:2460)
    • (1970) Bull. London Math. Soc. , vol.2 , pp. 37-40
    • Parry, W.1
  • 28
    • 0039952510 scopus 로고
    • Dynamical representations in nilmanifolds
    • MR0320277 47:8816
    • Parry, W. Dynamical representations in nilmanifolds. Compositio Math. 26 (1973), 159-174. MR0320277 (47:8816)
    • (1973) Compositio Math. , vol.26 , pp. 159-174
    • Parry, W.1
  • 29
    • 0010213187 scopus 로고
    • Eigenfunctions of T × S and the Conze-Lesigne algebra. Ergodic theory and its connections with harmonic analysis (Alexandria, 1993)
    • Cambridge Univ. Press, Cambridge, MR1325712 96k:28025
    • Rudolph, D. Eigenfunctions of T × S and the Conze-Lesigne algebra. Ergodic theory and its connections with harmonic analysis (Alexandria, 1993), 369-432, London Math. Soc. Lecture Note Ser., 205, Cambridge Univ. Press, Cambridge, 1995. MR1325712 (96k:28025)
    • (1995) London Math. Soc. Lecture Note Ser. , vol.369-432 , pp. 205
    • Rudolph, D.1
  • 30
    • 77950552391 scopus 로고    scopus 로고
    • Invariant measures and orbit closures on homogeneous spaces for actions of subgroups. Lie groups and ergodic theory (Mumbai, 1996)
    • Tata Inst. Fund. Res., Bombay, MR1699367 2001a:22012
    • Shah, N. Invariant measures and orbit closures on homogeneous spaces for actions of subgroups. Lie groups and ergodic theory (Mumbai, 1996), 229-271, Tata Inst. Fund. Res. Stud. Math., 14, Tata Inst. Fund. Res., Bombay, 1998. MR1699367 (2001a:22012)
    • (1998) Tata Inst. Fund. Res. Stud. Math. , vol.229-271 , pp. 14
    • Shah, N.1
  • 32
    • 23444446166 scopus 로고    scopus 로고
    • A non-conventional ergodic theorem for a nilsystem
    • DOI 10.1017/S0143385703000518
    • Ziegler, T. A non-conventional ergodic theorem for a nilsystem. Ergodic Theory Dynam. Systems, 25 (2005) no. 4, 1357-1370. MR2158410 (2006d:37009) (Pubitemid 41111662)
    • (2005) Ergodic Theory and Dynamical Systems , vol.25 , Issue.4 , pp. 1357-1370
    • Ziegler, T.1
  • 33
    • 84972488071 scopus 로고
    • Extensions of ergodic group actions
    • MR0409770 53:13522
    • Zimmer, R. Extensions of ergodic group actions. Illinois J. Math. 20 (1976), no. 3, 373-409. MR0409770 (53:13522)
    • (1976) Illinois J. Math. , vol.20 , Issue.3 , pp. 373-409
    • Zimmer, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.