메뉴 건너뛰기




Volumn 124, Issue 1, 2004, Pages 145-175

Kneading operators, sharp determinants, and weighted lefschetz zeta functions in higher dimensions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 4043103436     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-04-12415-7     Document Type: Article
Times cited : (12)

References (23)
  • 1
    • 0000542752 scopus 로고
    • A Lefschetz fixed point formula for elliptic complexes, I
    • MR 0212836
    • M. F. ATIYAH and R. BOTT, A Lefschetz fixed point formula for elliptic complexes, I, Ann. of Math. (2) 86 (1967), 374-407. MR 0212836
    • (1967) Ann. of Math. (2) , vol.86 , pp. 374-407
    • Atiyah, M.F.1    Bott, R.2
  • 2
    • 0001762648 scopus 로고
    • A Lefschetz fixed point formula for elliptic complexes, II: Applications
    • MR 0232406
    • _, A Lefschetz fixed point formula for elliptic complexes, II: Applications, Ann. of Math. (2) 88 (1968), 451-491. MR 0232406
    • (1968) Ann. of Math. (2) , vol.88 , pp. 451-491
  • 3
    • 4043050000 scopus 로고
    • Notes on the Lefschetz fixed point formula for elliptic complexes
    • Raoul Bott: Collected Papers, Vol. 2: Differential Operators, Birkhäuser, Boston, MR 1290361
    • _, "Notes on the Lefschetz fixed point formula for elliptic complexes" in Raoul Bott: Collected Papers, Vol. 2: Differential Operators, Contemp. Mathematicians, Birkhäuser, Boston, 1994, 68-162. MR 1290361
    • (1994) Contemp. Mathematicians , pp. 68-162
  • 5
    • 0000807640 scopus 로고
    • Infinite kneading matrices and weighted zeta functions of interval maps
    • MR 1317716
    • V. BALADI, Infinite kneading matrices and weighted zeta functions of interval maps, J. Funct. Anal. 128 (1995), 226-244. MR 1317716
    • (1995) J. Funct. Anal. , vol.128 , pp. 226-244
    • Baladi, V.1
  • 6
    • 0032377221 scopus 로고    scopus 로고
    • Periodic orbits and dynamical spectra
    • MR 1619556
    • _, Periodic orbits and dynamical spectra, Ergodic Theory Dynam. Systems 18 (1998), 255-292. MR 1619556
    • (1998) Ergodic Theory Dynam. Systems , vol.18 , pp. 255-292
  • 7
    • 0004113671 scopus 로고    scopus 로고
    • Positive transfer operators and decay of correlations
    • World Sci., River Edge, N.J., MR 1793194
    • _, Positive Transfer Operators and Decay of Correlations, Adv. Ser. Nonlinear Dynam. 16, World Sci., River Edge, N.J., 2000. MR 1793194
    • (2000) Adv. Ser. Nonlinear Dynam. , vol.16
  • 8
    • 0001288324 scopus 로고    scopus 로고
    • Sharp determinants and kneading operators for holomorphic maps
    • MR 1632153
    • V. BALADI, A. KITAEV, D. RUELLE, and S. SEMMES, Sharp determinants and kneading operators for holomorphic maps, Proc. Steklov Inst. Math. 216, no. 1 (1997), 186-228. MR 1632153
    • (1997) Proc. Steklov Inst. Math. , vol.216 , Issue.1 , pp. 186-228
    • Baladi, V.1    Kitaev, A.2    Ruelle, D.3    Semmes, S.4
  • 9
    • 84958434893 scopus 로고
    • An extension of the theorem of Milnor and Thurston on the zeta functions of interval maps
    • MR 1304135
    • V. BALADI and D. RUELLE, An extension of the theorem of Milnor and Thurston on the zeta functions of interval maps, Ergodic Theory Dynam. Systems 14 (1994), 621-632. MR 1304135
    • (1994) Ergodic Theory Dynam. Systems , vol.14 , pp. 621-632
    • Baladi, V.1    Ruelle, D.2
  • 10
    • 0030543668 scopus 로고    scopus 로고
    • Sharp determinants
    • MR 1383961
    • _, Sharp determinants, Invent. Math. 123 (1996), 553-574. MR 1383961
    • (1996) Invent. Math. , vol.123 , pp. 553-574
  • 11
    • 0007465414 scopus 로고    scopus 로고
    • Traces and Determinants of Linear Operators
    • Birkhauser, Basel, MR 1744872
    • I. GOHBERG, S. GOLDBERG, and N. KRUPNIK, Traces and Determinants of Linear Operators, Oper. Theory Adv. Appl. 116, Birkhauser, Basel, 2000. MR 1744872
    • (2000) Oper. Theory Adv. Appl. , vol.116
    • Gohberg, I.1    Goldberg, S.2    Krupnik, N.3
  • 12
    • 0035539908 scopus 로고    scopus 로고
    • Spectre de l'opérateur de transfert en dimension 1
    • MR 1869227
    • S. GOUËZEL, Spectre de l'opérateur de transfert en dimension 1, Manuscripta Math. 106 (2001), 365-403. MR 1869227
    • (2001) Manuscripta Math. , vol.106 , pp. 365-403
    • Gouëzel, S.1
  • 13
    • 0003361840 scopus 로고
    • Geometric Asymptotics
    • Amer. Math. Soc., Providence, MR 0516965
    • V. GUILLEMIN and S. STERNBERG, Geometric Asymptotics, Math. Surveys 14, Amer. Math. Soc., Providence, 1977. MR 0516965
    • (1977) Math. Surveys , vol.14
    • Guillemin, V.1    Sternberg, S.2
  • 14
    • 33846788313 scopus 로고
    • Theory of Functions on Complex Manifolds
    • Birkhäuser, Basel, MR 0774049
    • G. HENKIN and J. LEITERER, Theory of Functions on Complex Manifolds, Monogr. Math. 79, Birkhäuser, Basel, 1984. MR 0774049
    • (1984) Monogr. Math. , vol.79
    • Henkin, G.1    Leiterer, J.2
  • 15
    • 24544481692 scopus 로고
    • Spectral analysis of singularities
    • Seminar on Singularities of Solutions of Linear Partial Differential Equations (Princeton, 1977/78), ed. L. Hörmander, Princeton Univ. Press, Princeton, MR 0547014
    • L. HÖRMANDER, "Spectral analysis of singularities" in Seminar on Singularities of Solutions of Linear Partial Differential Equations (Princeton, 1977/78), ed. L. Hörmander, Ann. Math. Stud. 91, Princeton Univ. Press, Princeton, 1979. MR 0547014
    • (1979) Ann. Math. Stud. , vol.91
    • Hörmander, L.1
  • 16
    • 0034349439 scopus 로고    scopus 로고
    • Generic diffeomorphisms with superexponential growth of number of periodic orbits
    • MR 1757015
    • V. YU. KALOSHIN, Generic diffeomorphisms with superexponential growth of number of periodic orbits, Comm. Math. Phys. 211 (2000), 253-271. MR 1757015
    • (2000) Comm. Math. Phys. , vol.211 , pp. 253-271
    • Kaloshin, V.Y.U.1
  • 18
    • 0000848698 scopus 로고
    • On iterated maps of the interval
    • Dynamical Systems (College Park, Md., 1986-87), ed. J. C. Alexander, Springer, Berlin, MR 0970571
    • J. MILNOR and W. THURSTON, "On iterated maps of the interval" in Dynamical Systems (College Park, Md., 1986-87), ed. J. C. Alexander, Lecture Notes in Math. 1342, Springer, Berlin, 1988. MR 0970571
    • (1988) Lecture Notes in Math. , vol.1342
    • Milnor, J.1    Thurston, W.2
  • 19
    • 0009214718 scopus 로고    scopus 로고
    • Sharp zeta functions for smooth interval maps
    • International Conference on Dynamical Systems: A Tribute to Ricardo Mañé (Montevideo, Uruguay, 1995), ed. F. Ledrappier, J. Lewowicz, and S. Newhouse, Pitman Res. Longman, Harlow, England, MR 1460805
    • D. RUELLE, "Sharp zeta functions for smooth interval maps" in International Conference on Dynamical Systems: A Tribute to Ricardo Mañé (Montevideo, Uruguay, 1995), ed. F. Ledrappier, J. Lewowicz, and S. Newhouse, Pitman Res. Notes Math. Ser. 362, Longman, Harlow, England, 1996, 188-206. MR 1460805
    • (1996) Notes Math. Ser. , vol.362 , pp. 188-206
    • Ruelle, D.1
  • 20
    • 4043052813 scopus 로고
    • Functional determinants related to dynamical systems and the thermodynamic formalism
    • Scuola Norm. Sup., Pisa, preprint, Institut des Hautes Études Scientifiques, Bures-sur-Yvette
    • _, Functional determinants related to dynamical systems and the thermodynamic formalism, Fermi lectures, Scuola Norm. Sup., Pisa, preprint, Institut des Hautes Études Scientifiques, Bures-sur-Yvette, 1995.
    • (1995) Fermi Lectures
  • 21
    • 33646376015 scopus 로고
    • Théorie des distributions, new ed.
    • Hermann, Paris, MR 0209834
    • L. SCHWARTZ, Théorie des distributions, new ed., Publ. Inst. Math. Univ. Strasbourg 9-10, Hermann, Paris, 1966. MR 0209834
    • (1966) Publ. Inst. Math. Univ. Strasbourg , vol.9-10
    • Schwartz, L.1
  • 22
    • 0003335754 scopus 로고
    • Trace Ideals and Their Applications
    • Cambridge Univ. Press, Cambridge, MR 0541149
    • B. SIMON, Trace Ideals and Their Applications, London Math. Soc. Lecture Note Ser. 35, Cambridge Univ. Press, Cambridge, 1979. MR 0541149
    • (1979) London Math. Soc. Lecture Note Ser. , vol.35
    • Simon, B.1
  • 23
    • 0011759736 scopus 로고
    • Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus
    • Benjamin, New York, MR 0209411
    • M. SPIVAK, Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus, Adv. Ser. Nonlinear Dynam., Benjamin, New York, 1965 MR 0209411
    • (1965) Adv. Ser. Nonlinear Dynam.
    • Spivak, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.