메뉴 건너뛰기




Volumn 24, Issue 1, 2014, Pages 1-48

Multiple Recurrence in Quasirandom Groups

Author keywords

37A25

Indexed keywords


EID: 84893206467     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00039-014-0252-0     Document Type: Article
Times cited : (24)

References (34)
  • 3
    • 0002059526 scopus 로고    scopus 로고
    • Ergodic Ramsey theory - an update
    • London Mathematical Society Lecture Note Series, Cambridge University Press, Cambridge
    • d actions (Warwick, 1993-1994), London Mathematical Society Lecture Note Series Vol. 228, Cambridge University Press, Cambridge (1996), pp. 1-61.
    • (1996) d actions (Warwick, 1993-1994) , vol.228 , pp. 1-61
    • Bergelson, V.1
  • 4
    • 22144458443 scopus 로고    scopus 로고
    • Ergodic theory and Diophantine problems
    • (Temuco, 1997) London Mathematical Society Lecture Note Series, Cambridge University Press, Cambridge
    • V. Bergelson, Ergodic theory and Diophantine problems. In: Topics in symbolic dynamics and applications (Temuco, 1997) London Mathematical Society Lecture Note Series Vol. 279. Cambridge University Press, Cambridge, (2000), pp. 167-205.
    • (2000) Topics in symbolic dynamics and applications , vol.279 , pp. 167-205
    • Bergelson, V.1
  • 5
    • 32544435213 scopus 로고    scopus 로고
    • Minimal idempotents and ergodic Ramsey theory
    • London Mathematical Society Lecture Note Series, Cambridge University Press, Cambridge
    • V. Bergelson. Minimal idempotents and ergodic Ramsey theory. In: Topics in dynamics and ergodic theory, London Mathematical Society Lecture Note Series, Vol. 310. Cambridge University Press, Cambridge, (2003), pp. 8-39.
    • (2003) Topics in dynamics and ergodic theory , vol.310 , pp. 8-39
    • Bergelson, V.1
  • 6
    • 79960892335 scopus 로고    scopus 로고
    • Ultrafilters, IP sets, dynamics, and combinatorial number theory, Ultrafilters across mathematics
    • Bergelson V.: Ultrafilters, IP sets, dynamics, and combinatorial number theory, Ultrafilters across mathematics. Contemporary Mathematics American Mathematical Society, Providence, RI 530, 23-47 (2010).
    • (2010) Contemporary Mathematics American Mathematical Society, Providence, RI , vol.530 , pp. 23-47
    • Bergelson, V.1
  • 8
    • 67649304306 scopus 로고    scopus 로고
    • Weakly mixing group actions: a brief survey and an example
    • Cambridge University Press, Cambridge
    • V. Bergelson and A. Gorodnik. Weakly mixing group actions: a brief survey and an example. In: Modern dynamical systems and applications, Cambridge University Press, Cambridge, (2004), pp. 3-25.
    • (2004) Modern dynamical systems and applications , pp. 3-25
    • Bergelson, V.1    Gorodnik, A.2
  • 10
    • 35348959595 scopus 로고    scopus 로고
    • Central sets and a non-commutative Roth theorem
    • Bergelson V., McCutcheon R.: Central sets and a non-commutative Roth theorem. American Journal of Mathematics, 129(5), 1251-1275 (2007).
    • (2007) American Journal of Mathematics , vol.129 , Issue.5 , pp. 1251-1275
    • Bergelson, V.1    McCutcheon, R.2
  • 18
    • 0000599738 scopus 로고
    • Consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory
    • K. Gödel. Consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory. In: Proceedings of the National Academy of Sciences, 24 (1938), 556-557.
    • (1938) Proceedings of the National Academy of Sciences , vol.24 , pp. 556-557
    • Gödel, K.1
  • 20
    • 41549141368 scopus 로고    scopus 로고
    • Hypergraph regularity and the multidimensional Szemerédi theorem
    • Gowers T.: Hypergraph regularity and the multidimensional Szemerédi theorem. Annals of Mathematics, 166(2, 3), 897-946 (2007).
    • (2007) Annals of Mathematics , vol.166 , Issue.2-3 , pp. 897-946
    • Gowers, T.1
  • 21
    • 33646679871 scopus 로고    scopus 로고
    • On the commuting probability in finite groups
    • Guralnick R., Robinson G.: On the commuting probability in finite groups. Journal of Algebra, 300(2), 509-528 (2006).
    • (2006) Journal of Algebra , vol.300 , Issue.2 , pp. 509-528
    • Guralnick, R.1    Robinson, G.2
  • 22
    • 0001805982 scopus 로고
    • Finite sums from sequences within cells of a partition of N
    • Hindman N.: Finite sums from sequences within cells of a partition of N. Journal of Combinatorial Theory Series A, 17, 1-11 (1974).
    • (1974) Journal of Combinatorial Theory Series A , vol.17 , pp. 1-11
    • Hindman, N.1
  • 23
    • 0003984002 scopus 로고    scopus 로고
    • Algebra in the Stone-Čech compactification
    • Second revised and extended edition, de Gruyter Textbook. Walter de Gruyter & Co., Berlin
    • N. Hindman and D. Strauss. Algebra in the Stone-Čech compactification. Theory and applications. Second revised and extended edition, de Gruyter Textbook. Walter de Gruyter & Co., Berlin (2012).
    • (2012) Theory and applications
    • Hindman, N.1    Strauss, D.2
  • 24
    • 0001704592 scopus 로고
    • On the minimal degrees of projective representations of the finite Chevalley groupsPoincaré normal
    • Landazuri V., Seitz G.: On the minimal degrees of projective representations of the finite Chevalley groups. Journal of Algebra, 32, 418-443 (1974).
    • (1974) Journal of Algebra , vol.32 , pp. 418-443
    • Landazuri, V.1    Seitz, G.2
  • 25
    • 84968497531 scopus 로고
    • Conversion from nonstandard to standard measure spaces and applications in probability theory
    • Loeb P. A.: Conversion from nonstandard to standard measure spaces and applications in probability theory. Transactions of the American Mathematical Society, 211, 113-122 (1975).
    • (1975) Transactions of the American Mathematical Society , vol.211 , pp. 113-122
    • Loeb, P.A.1
  • 27
    • 35348964037 scopus 로고    scopus 로고
    • Regular partitions of hypergraphs: regularity lemmas
    • Rödl V., Schacht M.: Regular partitions of hypergraphs: regularity lemmas. Combinatorics, Probability and Computing, 16(6), 833-885 (2007).
    • (2007) Combinatorics, Probability and Computing , vol.16 , Issue.6 , pp. 833-885
    • Rödl, V.1    Schacht, M.2
  • 28
    • 33644942504 scopus 로고    scopus 로고
    • Applications of the regularity lemma for uniform hypergraphs
    • Rödl V., Skokan J.: Applications of the regularity lemma for uniform hypergraphs. Random Structures Algorithms, 28(2), 180-194 (2006).
    • (2006) Random Structures Algorithms , vol.28 , Issue.2 , pp. 180-194
    • Rödl, V.1    Skokan, J.2
  • 32
    • 58449095860 scopus 로고    scopus 로고
    • A correspondence principle between (hyper)graph theory and probability theory, and the (hyper)graph removal lemma
    • Tao T.: A correspondence principle between (hyper)graph theory and probability theory, and the (hyper)graph removal lemma. Journal d'Analyse Mathematique, 103, 1-45 (2010).
    • (2010) Journal D'analyse Mathematique , vol.103 , pp. 1-45
    • Tao, T.1
  • 33
    • 33746620574 scopus 로고    scopus 로고
    • A variant of the hypergraph removal lemma
    • Tao T.: A variant of the hypergraph removal lemma. Journal of Combinatorial Theory Series A, 113(7), 1257-1280 (2006).
    • (2006) Journal of Combinatorial Theory Series A , vol.113 , Issue.7 , pp. 1257-1280
    • Tao, T.1
  • 34
    • 84947703801 scopus 로고    scopus 로고
    • Mixing for progressions in nonabelian groups
    • Sigma, 1 (2013), e2
    • T. Tao. Mixing for progressions in nonabelian groups. Forum of Mathematics, Sigma, 1 (2013), e2.
    • Forum of Mathematics
    • Tao, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.