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Volumn 3, Issue 6, 1999, Pages 79-101

Geometry of the feigenbaum map

Author keywords

Dynamics; Feigenbaum; Local connectivity; Puzzle; Renormalization

Indexed keywords


EID: 0039687713     PISSN: None     EISSN: 10884173     Source Type: Journal    
DOI: 10.1090/S1088-4173-99-00031-4     Document Type: Article
Times cited : (11)

References (13)
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    • Coullet, P.1    Tresser, C.2
  • 2
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    • On the Dynamics of Polynomial-like Mappings
    • Ec. Norm. Sup. 4e series, MR 87f:58083
    • A. Douady and J.H. Hubbard, On the Dynamics of Polynomial-like Mappings, Ann. Scient., Ec. Norm. Sup. 4e series, vol. 18, (1985), 287-343. MR 87f:58083
    • (1985) Ann. Scient , vol.18 , pp. 287-343
    • Douady, A.1    Hubbard, J.H.2
  • 3
    • 34250107864 scopus 로고
    • A complete proof of the Feigenbaum conjectures
    • MR 89b:58131
    • J.P. Eckmann and P. Wittwer, A complete proof of the Feigenbaum conjectures, J. Stat. Phys., vol 46 (1987), 455-477. MR 89b:58131
    • (1987) J. Stat. Phys , vol.46 , pp. 455-477
    • Eckmann, J.P.1    Wittwer, P.2
  • 4
    • 0000830337 scopus 로고
    • Fixed points of composition operators II
    • MR 90j:58086
    • H. Epstein, Fixed points of composition operators II. Nonlinearity, vol. 2, (1989), 305-310. MR 90j:58086
    • (1989) Nonlinearity , vol.2 , pp. 305
    • Epstein, H.1
  • 6
    • 0001816458 scopus 로고
    • Quantitative universality for a class of non-linear transformations
    • MR 58:18601
    • M.J. Feigenbaum, Quantitative universality for a class of non-linear transformations, J. Stat. Phys., vol. 19, (1978), 25-52. MR 58:18601
    • (1978) J. Stat. Phys , vol.19 , pp. 25-52
    • Feigenbaum, M.J.1
  • 7
    • 85009806111 scopus 로고    scopus 로고
    • The universal metric properties of non-linear transformations
    • M.J. Feigenbaum, The universal metric properties of non-linear transformations, J. Stat.
    • J. Stat
    • Feigenbaum, M.J.1
  • 8
    • 0347447535 scopus 로고
    • MR 82e:58072
    • Phys., vol. 21, (1979), 669-706. MR 82e:58072
    • (1979) Phys , vol.21 , pp. 669-706
  • 10
    • 84966250718 scopus 로고
    • A computer assisted proof of the Feigenbaum conjectures
    • MR 83g:58051
    • O.E. Lanford A computer assisted proof of the Feigenbaum conjectures, Bull. Amer. Math.Soc., vol. 6, (1982), 427-434. MR 83g:58051
    • (1982) Bull. Amer. Math.Soc , vol.6 , pp. 427-434
    • Lanford, O.E.1
  • 11
    • 0003336695 scopus 로고    scopus 로고
    • Renormalization and 3-manifolds which fiber over the circle
    • Princeton University Press, MR 97f:57022
    • C.T. McMullen, Renormalization and 3-manifolds which fiber over the circle, Annals of Math Studies, Princeton University Press, vol. 142, (1996). MR 97f:57022
    • (1996) Annals of Math Studies , pp. 142
    • McMullen, C.T.1
  • 13
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    • F. Browder, editor, Mathematics into Twenty-first Century: 1988 Centennial Symposium, August 8-12, Amer. Math. Soc., MR 93k:58194
    • D. Sullivan, Bounds, quadratic differentials and renormalization conjectures, In F. Browder, editor, Mathematics into Twenty-first Century: 1988 Centennial Symposium, August 8-12, Amer. Math. Soc., (1992), 417-466. MR 93k:58194
    • (1992) Bounds, Quadratic Differentials and Renormalization Conjectures , pp. 417-466
    • Sullivan, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.