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Volumn 17, Issue 5, 2004, Pages 1607-1622

Growth of the zeta function for a quadratic map and the dimension of the Julia set

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EID: 4644244044     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/17/5/003     Document Type: Article
Times cited : (13)

References (23)
  • 7
    • 0001407441 scopus 로고
    • The zeta functions of Ruelle and Seiberg
    • Fried D 1986 The zeta functions of Ruelle and Seiberg Ann. Sci. École Norm. Sup. 19 491-517
    • (1986) Ann. Sci. École Norm. Sup. , vol.19 , pp. 491-517
    • Fried, D.1
  • 8
    • 0003401596 scopus 로고
    • An introduction to the theory of linear non-self-adjoint operators
    • Providence, RI: American Mathematical Society
    • Gohberg I C and Krein M G 1969 An introduction to the theory of linear non-self-adjoint operators Translation of Mathematical Monographs vol 18 (Providence, RI: American Mathematical Society)
    • (1969) Translation of Mathematical Monographs , vol.18
    • Gohberg, I.C.1    Krein, M.G.2
  • 9
    • 1542403824 scopus 로고    scopus 로고
    • The Selberg zeta function of convex co-compact Schottky groups
    • Guillopé L, Lin K and Zworski M 2004 The Selberg zeta function of convex co-compact Schottky groups Commun. Math. Phys. 245 149-76
    • (2004) Commun. Math. Phys. , vol.245 , pp. 149-176
    • Guillopé, L.1    Lin, K.2    Zworski, M.3
  • 10
    • 0036324808 scopus 로고    scopus 로고
    • Calculating Hausdorff dimension of Julia sets and Kleinian limit sets
    • Jenkinson O and Pollicott M 2002 Calculating Hausdorff dimension of Julia sets and Kleinian limit sets Am. J. Math. 124 495-545
    • (2002) Am. J. Math. , vol.124 , pp. 495-545
    • Jenkinson, O.1    Pollicott, M.2
  • 11
    • 0036501082 scopus 로고    scopus 로고
    • Numerical study of quantum resonances in chaotic scattering
    • Lin K 2002 Numerical study of quantum resonances in chaotic scattering J. Comput. Phys. 176 295-329
    • (2002) J. Comput. Phys. , vol.176 , pp. 295-329
    • Lin, K.1
  • 12
    • 0037170970 scopus 로고    scopus 로고
    • Quantum resonances in chaotic scattering
    • Lin K and Zworski M 2002 Quantum resonances in chaotic scattering Chem. Phys. Lett. 355 201-5
    • (2002) Chem. Phys. Lett. , vol.355 , pp. 201-205
    • Lin, K.1    Zworski, M.2
  • 13
    • 8744307577 scopus 로고    scopus 로고
    • Fractal Weyl laws for chaotic open systems
    • Lu W, Sridhar S and Zworski M 2003 Fractal Weyl laws for chaotic open systems Phys. Rev. Lett. 91 154101
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 154101
    • Lu, W.1    Sridhar, S.2    Zworski, M.3
  • 14
    • 0031227425 scopus 로고    scopus 로고
    • Laminations in holomorphic dynamics
    • Lyubich M and Minsky Y 1997 Laminations in holomorphic dynamics J. Diff. Geom. 47 17-94
    • (1997) J. Diff. Geom. , vol.47 , pp. 17-94
    • Lyubich, M.1    Minsky, Y.2
  • 16
    • 0003753533 scopus 로고
    • Natick, MA: The MathWorks Inc
    • The MathWorks Inc. 1992 MATLAB Reference Guide (Natick, MA: The MathWorks Inc.)
    • (1992) MATLAB Reference Guide
  • 17
    • 0001579032 scopus 로고    scopus 로고
    • Hausdorff dimension and conformal dynamics: III. Computation of dimension
    • McMullen C 1998 Hausdorff dimension and conformal dynamics: III. Computation of dimension Am. J. Math. 120 691-721
    • (1998) Am. J. Math. , vol.120 , pp. 691-721
    • McMullen, C.1
  • 18
    • 0001167134 scopus 로고    scopus 로고
    • Divisor of the Selberg zeta function for Kleinian groups in even dimensions, with an appendix by C Epstein
    • Patterson S J and Perry P 2001 Divisor of the Selberg zeta function for Kleinian groups in even dimensions, with an appendix by C Epstein Duke. Math. J. 326 321-90
    • (2001) Duke. Math. J. , vol.326 , pp. 321-390
    • Patterson, S.J.1    Perry, P.2
  • 19
    • 0001085798 scopus 로고
    • Zeta-functions for expanding Anosov maps and flows
    • Ruelle D 1976 Zeta-functions for expanding Anosov maps and flows Inv. Math. 34 231-42
    • (1976) Inv. Math. , vol.34 , pp. 231-242
    • Ruelle, D.1
  • 20
    • 84974003886 scopus 로고
    • Geometric bounds on the density of resonances for semiclassical problems
    • Sjöstrand J 1990 Geometric bounds on the density of resonances for semiclassical problems Duke Math. J. 60 1-57
    • (1990) Duke Math. J. , vol.60 , pp. 1-57
    • Sjöstrand, J.1
  • 22
    • 0033473946 scopus 로고    scopus 로고
    • Dimension of the limit set and the distribution of resonances for convex co-compact hyperbolic surfaces
    • Zworski M 1999 Dimension of the limit set and the distribution of resonances for convex co-compact hyperbolic surfaces Inv. Math. 136 353-409
    • (1999) Inv. Math. , vol.136 , pp. 353-409
    • Zworski, M.1
  • 23
    • 0001518892 scopus 로고    scopus 로고
    • Resonances in physics and geometry
    • Zworski M 1999 Resonances in physics and geometry Not. Am. Math. Soc. 46 319-28
    • (1999) Not. Am. Math. Soc. , vol.46 , pp. 319-328
    • Zworski, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.