메뉴 건너뛰기




Volumn 46, Issue 3, 1997, Pages 897-932

Value distribution for sequences of rational mappings and complex dynamics

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0002324871     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: 10.1512/iumj.1997.46.1441     Document Type: Article
Times cited : (138)

References (33)
  • 1
    • 0000427892 scopus 로고
    • 2. The measure of maximal entropy and laminar currents
    • 2. The measure of maximal entropy and laminar currents. Invent. Math. 112 (1993), 77-125.
    • (1993) Invent. Math. , vol.112 , pp. 77-125
    • Bedford, E.1    Lyubich, M.2    Smillie, J.3
  • 3
    • 34249928777 scopus 로고
    • 2. Currents, equilibrium measure and hyperbolicity
    • 2. currents, equilibrium measure and hyperbolicity. Invent. Math. 87 (1990), 69-99.
    • (1990) Invent. Math. , vol.87 , pp. 69-99
    • Bedford, E.1    Smillie, J.2
  • 5
    • 0001649457 scopus 로고
    • 2: Ergodicity, exponents and entropy of the equilibrium measure
    • 2: Ergodicity, exponents and entropy of the equilibrium measure. Math. Ann. 294 (1992), 395-420.
    • (1992) Math. Ann. , vol.294 , pp. 395-420
    • Bedford, E.1    Smillie, J.2
  • 6
    • 0001927566 scopus 로고
    • A new capacity for plurisubharmonic functions
    • E. BEDFORD, B. A. TAYLOR. A new capacity for plurisubharmonic functions. Acta Math. 149 (1982), 1-40.
    • (1982) Acta Math. , vol.149 , pp. 1-40
    • Bedford, E.1    Taylor, B.A.2
  • 7
    • 84950357804 scopus 로고
    • Invariant sets under iteration of rational functions
    • H. BROLIN. Invariant sets under iteration of rational functions. Ark. Math. 61 (1965), 103-144.
    • (1965) Ark. Math. , vol.61 , pp. 103-144
    • Brolin, H.1
  • 8
    • 0002034353 scopus 로고
    • Monge-ampère operators, Lelong numbers and intersection theory
    • Univ. Series in Math., V. Ancona & A. Silva, eds. Plenum Press, New-York
    • J.-P. DEMAILLY. Monge-Ampère operators, Lelong numbers and intersection theory. In: Complex Analysis and Geometry, Univ. Series in Math., V. Ancona & A. Silva, eds. (Plenum Press, New-York, 1993), 115-193.
    • (1993) Complex Analysis and Geometry , pp. 115-193
    • Demailly, J.-P.1
  • 10
    • 0039463923 scopus 로고
    • Iterations of rational functions and the distribution of the values of the Poincaré functions
    • Russian
    • A. EREMENKO, M. L. SODIN. Iterations of rational functions and the distribution of the values of the Poincaré functions. Teor. Funktsiǐ Funktsional. Anal. i Prilozhen. 53 (1990), 18-25 (Russian). English transl. in J. of Soviet Math. 58 (1992), 504-509.
    • (1990) Teor. Funktsiǐ Funktsional. Anal. i Prilozhen. , vol.53 , pp. 18-25
    • Eremenko, A.1    Sodin, M.L.2
  • 11
    • 0039463927 scopus 로고
    • A. EREMENKO, M. L. SODIN. Iterations of rational functions and the distribution of the values of the Poincaré functions. Teor. Funktsiǐ Funktsional. Anal. i Prilozhen. 53 (1990), 18-25 (Russian). English transl. in J. of Soviet Math. 58 (1992), 504-509.
    • (1992) J. of Soviet Math. , vol.58 , pp. 504-509
  • 14
    • 0001054843 scopus 로고
    • Complex dynamics in higher dimensions, I
    • (Rio de Janeiro, 1992). Astérisque
    • J. E. FORNAESS, N. SIBONY. Complex dynamics in higher dimensions, I. Complex analytic methods in dynamical systems (Rio de Janeiro, 1992). Astérisque 222 (1994), 201-231.
    • (1994) Complex Analytic Methods in Dynamical Systems , vol.222 , pp. 201-231
    • Fornaess, J.E.1    Sibony, N.2
  • 15
    • 0000182457 scopus 로고
    • Complex dynamics in higher dimensions
    • Notes partially written by E. A. Gavosto. Complex potential theory (Montreal. PQ, 1993), Kluwer Acad. Publ., Dordrecht
    • J. E. FORNAESS, N. SIBONY. Complex dynamics in higher dimensions. Notes partially written by E. A. Gavosto. NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 439, Complex potential theory (Montreal. PQ, 1993), Kluwer Acad. Publ., Dordrecht, 1994, 131-186.
    • (1994) NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. , vol.439 , pp. 131-186
    • Fornaess, J.E.1    Sibony, N.2
  • 16
    • 0000819285 scopus 로고
    • Complex dynamics in higher dimensions, II. Modern methods in complex analysis
    • (Princeton, NJ, 1992), Princeton Univ. Press, Princeton, NJ
    • J. E. FORNAESS, N. SIBONY. Complex dynamics in higher dimensions, II. Modern methods in complex analysis (Princeton, NJ, 1992), Ann. of Math. Stud., Vol. 137, Princeton Univ. Press, Princeton, NJ, 1995, pp. 135-182.
    • (1995) Ann. of Math. Stud. , vol.137 , pp. 135-182
    • Fornaess, J.E.1    Sibony, N.2
  • 17
    • 11744305817 scopus 로고
    • Oka's inequality for currents and applications
    • J. E. FORNAESS, N. SIBONY. Oka's inequality for currents and applications. Math. Ann. 301 (1995), 399-419.
    • (1995) Math. Ann. , vol.301 , pp. 399-419
    • Fornaess, J.E.1    Sibony, N.2
  • 19
    • 0000199069 scopus 로고
    • Entropy of polynomial and rational maps
    • S. FRIEDLAND. Entropy of polynomial and rational maps. Ann. of Math. 133 (1991), 359-368.
    • (1991) Ann. of Math. , vol.133 , pp. 359-368
    • Friedland, S.1
  • 22
    • 0000930976 scopus 로고
    • Nevanlinna theory and holomorphic mappings between algebraic varieties
    • P. GRIFFITHS, J. KING. Nevanlinna theory and holomorphic mappings between algebraic varieties. Acta Math. 130 (1973), 145-220.
    • (1973) Acta Math. , vol.130 , pp. 145-220
    • Griffiths, P.1    King, J.2
  • 25
    • 0040055763 scopus 로고
    • A theorem on holomorphic mappings into complex projective space
    • H. LEVINE. A theorem on holomorphic mappings into complex projective space. Ann. of Math. 71 (1960), 529-535.
    • (1960) Ann. of Math. , vol.71 , pp. 529-535
    • Levine, H.1
  • 26
    • 84958429271 scopus 로고
    • Entropy properties of rational endomorphisms of the Riemann sphere
    • M. YU. LYUBICH. Entropy properties of rational endomorphisms of the Riemann sphere. Ergodic Theory and Dynamical Systems 3 (1983), 351-385.
    • (1983) Ergodic Theory and Dynamical Systems , vol.3 , pp. 351-385
    • Lyubich, M.Yu.1
  • 28
    • 0008997559 scopus 로고
    • Equidistribution for sequences of polynomial mappings
    • A. RUSSAKOVSKII, M. SODIN. Equidistribution for sequences of polynomial mappings. Indiana Univ. Math. J. 44 (1995), 850-882.
    • (1995) Indiana Univ. Math. J. , vol.44 , pp. 850-882
    • Russakovskii, A.1    Sodin, M.2
  • 29
    • 0141622785 scopus 로고
    • Distribution of values of holomorphic mappings
    • Providence, R.I.
    • B. V. SHABAT. Distribution of values of holomorphic mappings. Amer. Math. Soc., Providence, R.I., 1985.
    • (1985) Amer. Math. Soc.
    • Shabat, B.V.1
  • 31
    • 0009228662 scopus 로고
    • Nouvelle méthode pour l'étude des potentiels associés aux ensembles analytiques
    • Séminaire P. Lelong (Analyse) 1972-1973. Springer-Verlag, New York
    • H. SKODA. Nouvelle méthode pour l'étude des potentiels associés aux ensembles analytiques. Séminaire P. Lelong (Analyse) 1972-1973. Lecture Notes in Math. Vol. 410. Springer-Verlag, New York, 1974, pp. 117-141.
    • (1974) Lecture Notes in Math. , vol.410 , pp. 117-141
    • Skoda, H.1
  • 32
    • 5044221652 scopus 로고
    • Value distribution of sequences of rational mappings
    • Entire and Subharmonic Functions, B. Ya. Levin, ed.
    • M. L. SODIN. Value distribution of sequences of rational mappings. Advances in Soviet Math., Vol. 11, Entire and Subharmonic Functions, B. Ya. Levin, ed., 1992.
    • (1992) Advances in Soviet Math. , vol.11
    • Sodin, M.L.1
  • 33
    • 84972569430 scopus 로고
    • Fatou sets in complex dynamics on projective spaces
    • T. UEDA. Fatou sets in complex dynamics on projective spaces. J. Math. Soc. Japan 46 (1994), 545-554.
    • (1994) J. Math. Soc. Japan , vol.46 , pp. 545-554
    • Ueda, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.