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Volumn 59, Issue 2, 2007, Pages 311-331

Growth and zeros of the zeta function for hyperbolic rational maps

Author keywords

Complex dynamics; Transfer operator; Zeta function

Indexed keywords


EID: 34248682657     PISSN: 0008414X     EISSN: None     Source Type: Journal    
DOI: 10.4153/CJM-2007-013-4     Document Type: Article
Times cited : (3)

References (19)
  • 2
    • 0000542752 scopus 로고
    • A Lefschetz fixed point formula for elliptic complexes. I
    • M. F. Atiyah and R. Bott, A Lefschetz fixed point formula for elliptic complexes. I. Ann. of Math. 86(1967), 374-407.
    • (1967) Ann. of Math , vol.86 , pp. 374-407
    • Atiyah, M.F.1    Bott, R.2
  • 7
    • 1542403824 scopus 로고    scopus 로고
    • The Selberg function for convex co-compact Schottky groups
    • L. Guillopé, K. Lin, and M. Zworksi, The Selberg function for convex co-compact Schottky groups. Comm. Math. Phys. 245(2004), no. 1, 149-176.
    • (2004) Comm. Math. Phys , vol.245 , Issue.1 , pp. 149-176
    • Guillopé, L.1    Lin, K.2    Zworksi, M.3
  • 9
    • 0003284894 scopus 로고
    • The Analysis of Linear Partial Differential Operators. I
    • Springer-Verlag, Berlin
    • L. Hörmander, The Analysis of Linear Partial Differential Operators. I. Grundlehren der Mathematischen Wissenschaften 256, Springer-Verlag, Berlin, 1983.
    • (1983) Grundlehren der Mathematischen Wissenschaften , vol.256
    • Hörmander, L.1
  • 10
    • 0036324808 scopus 로고    scopus 로고
    • Calculating Hausdorff dimension of Julia sets and Kleinian limit sets
    • O. Jenkinson, and M. Pollicott, Calculating Hausdorff dimension of Julia sets and Kleinian limit sets. Amer. J. Math. 124(2002), no. 3, 495-545.
    • (2002) Amer. J. Math , vol.124 , Issue.3 , pp. 495-545
    • Jenkinson, O.1    Pollicott, M.2
  • 11
    • 0003202035 scopus 로고    scopus 로고
    • Hausdorff dimension and conformal dynamics. II. Geometrically finite rational maps
    • C. McMullen, Hausdorff dimension and conformal dynamics. II. Geometrically finite rational maps. Comment. Math. Helv. 75(2000), no. 4, 535-593.
    • (2000) Comment. Math. Helv , vol.75 , Issue.4 , pp. 535-593
    • McMullen, C.1
  • 12
    • 1342342466 scopus 로고    scopus 로고
    • Dynamical zrta functions and transfer operators
    • D. Ruelle, Dynamical zrta functions and transfer operators. Notices Amer. Math. Soc. 49(2002), no. 8, 887-895.
    • (2002) Notices Amer. Math. Soc , vol.49 , Issue.8 , pp. 887-895
    • Ruelle, D.1
  • 13
    • 0001085798 scopus 로고
    • Zeta-functions for expanding maps and Anosov flows
    • _, Zeta-functions for expanding maps and Anosov flows. Invent. Math. 34(1976), no. 3, 231-242.
    • (1976) Invent. Math , vol.34 , Issue.3 , pp. 231-242
    • Ruelle, D.1
  • 14
    • 0003335754 scopus 로고
    • Trace Ideals and Their Applications
    • Cambridge University Press, Cambridge
    • B. Simon, Trace Ideals and Their Applications. London Mathematical Society Lecture Note Series 35. Cambridge University Press, Cambridge. 1979.
    • (1979) London Mathematical Society Lecture Note Series , vol.35
    • Simon, B.1
  • 16
    • 4644244044 scopus 로고    scopus 로고
    • J. Strain and M. Zworski, Growth of the zeta function for a quadratic map and the dimension of the Julia set. Nonlinearity 17(2004), no. 5, 1607-1622.
    • J. Strain and M. Zworski, Growth of the zeta function for a quadratic map and the dimension of the Julia set. Nonlinearity 17(2004), no. 5, 1607-1622.
  • 17
    • 0038344485 scopus 로고    scopus 로고
    • Measures and dimensions in conformal dynamics
    • M. Urbański, Measures and dimensions in conformal dynamics. Bull. Amer. Math. Soc. 40(2003), no. 3, 281-321.
    • (2003) Bull. Amer. Math. Soc , vol.40 , Issue.3 , pp. 281-321
    • Urbański, M.1
  • 18
    • 0033473946 scopus 로고    scopus 로고
    • Dimension of the limit set and the density of resonances for convex co-compact hyperbolic surfaces
    • M. Zworski, Dimension of the limit set and the density of resonances for convex co-compact hyperbolic surfaces. Invent. Math. 136(1999), no. 2, 353-409.
    • (1999) Invent. Math , vol.136 , Issue.2 , pp. 353-409
    • Zworski, M.1
  • 19
    • 0001518892 scopus 로고    scopus 로고
    • Resonances in physics and geometry
    • _, Resonances in physics and geometry. Notices Amer. Math. Soc. 46(1999), no. 3, 319-328.
    • (1999) Notices Amer. Math. Soc , vol.46 , Issue.3 , pp. 319-328
    • Zworski, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.