메뉴 건너뛰기




Volumn , Issue 585, 2005, Pages 61-92

Canonical heights, transfinite diameters, and polynomial dynamics

Author keywords

[No Author keywords available]

Indexed keywords


EID: 27844509172     PISSN: 00754102     EISSN: 00754102     Source Type: Journal    
DOI: 10.1515/crll.2005.2005.585.61     Document Type: Article
Times cited : (49)

References (35)
  • 1
    • 0003943693 scopus 로고
    • Presses Universitaires de France, Paris
    • Y. Amice, Les Nombres p-adiques, Presses Universitaires de France, Paris 1975.
    • (1975) Les Nombres P-adiques
    • Amice, Y.1
  • 2
    • 0000143845 scopus 로고
    • Geometry of p-adic Siegel discs
    • A. Arrowsmith and F. Vivaldi, Geometry of p-adic Siegel discs, Phys. D. 71 (1994), no. 1-2, 222-236.
    • (1994) Phys. D. , vol.71 , Issue.1-2 , pp. 222-236
    • Arrowsmith, A.1    Vivaldi, F.2
  • 4
    • 0039777175 scopus 로고
    • Symmetries of Julia sets
    • A. Beardon, Symmetries of Julia sets, Bull. London Math. Soc. 22 (1990), 576-582.
    • (1990) Bull. London Math. Soc. , vol.22 , pp. 576-582
    • Beardon, A.1
  • 5
    • 0036352863 scopus 로고    scopus 로고
    • Components and periodic points in non-archimedean dynamics
    • R. Benedetto, Components and periodic points in non-archimedean dynamics, Proc. London Math. Soc. (3) 84 (2002), 615-620.
    • (2002) Proc. London Math. Soc. , vol.84 , Issue.3 , pp. 615-620
    • Benedetto, R.1
  • 6
    • 0035587843 scopus 로고    scopus 로고
    • Hyperbolic maps in p-adic dynamics
    • R. Benedetto, Hyperbolic maps in p-adic dynamics, Erg. Th. Dynam. Syst. 21 (2001), 1-11.
    • (2001) Erg. Th. Dynam. Syst. , vol.21 , pp. 1-11
    • Benedetto, R.1
  • 7
    • 0035255473 scopus 로고    scopus 로고
    • Reduction, dynamics, and Julia sets of rational functions
    • R. Benedetto, Reduction, dynamics, and Julia sets of rational functions, J. Number Th. 86 (2001), 175-195.
    • (2001) J. Number Th. , vol.86 , pp. 175-195
    • Benedetto, R.1
  • 8
    • 0742288804 scopus 로고    scopus 로고
    • Sur la compacité des ensembles de Julia des polynômes p-adiques
    • J.-P. Bézivin, Sur la compacité des ensembles de Julia des polynômes p-adiques, Math. Z. 246 (2004), no. 1-2, 273-289.
    • (2004) Math. Z. , vol.246 , Issue.1-2 , pp. 273-289
    • Bézivin, J.-P.1
  • 9
    • 0001603045 scopus 로고    scopus 로고
    • Limit distribution of small points on algebraic tori
    • Y. Bilu, Limit distribution of small points on algebraic tori, Duke Math. J. 89 (1997), 465-476.
    • (1997) Duke Math. J. , vol.89 , pp. 465-476
    • Bilu, Y.1
  • 10
    • 33746155291 scopus 로고    scopus 로고
    • Subvarieties of linear tori and the unit equation: A survey, Analytic number theory (Kyoto 1996)
    • Cambridge Univ. Press, Cambridge
    • E. Bombieri, Subvarieties of linear tori and the unit equation: a survey, Analytic number theory (Kyoto 1996), London Math. Soc. Lect. Note Ser. 247, Cambridge Univ. Press, Cambridge (1997), 1-20.
    • (1997) London Math. Soc. Lect. Note Ser. , vol.247 , pp. 1-20
    • Bombieri, E.1
  • 12
    • 84950357804 scopus 로고
    • Invariant sets under iteration of rational functions
    • H. Brolin, Invariant sets under iteration of rational functions, Ark. Mat. 6 (1965), 103-144.
    • (1965) Ark. Mat. , vol.6 , pp. 103-144
    • Brolin, H.1
  • 13
    • 0010193961 scopus 로고    scopus 로고
    • Canonical heights on projective space
    • G. Call and S. Goldstine, Canonical heights on projective space, J. Number Th. 63 (1997), no. 2, 211-243.
    • (1997) J. Number Th. , vol.63 , Issue.2 , pp. 211-243
    • Call, G.1    Goldstine, S.2
  • 14
    • 0001591071 scopus 로고
    • Canonical heights on varieties with morphisms
    • G. Call and J. Silverman, Canonical heights on varieties with morphisms, Compos. Math. 89 (1993), no. 2, 163-205.
    • (1993) Compos. Math. , vol.89 , Issue.2 , pp. 163-205
    • Call, G.1    Silverman, J.2
  • 15
    • 0002065480 scopus 로고
    • On an extension of the definition of transfinite diameter and some applications
    • D. Cantor, On an extension of the definition of transfinite diameter and some applications, J. reine angew. Math. 316 (1980), 160-207.
    • (1980) J. Reine Angew. Math. , vol.316 , pp. 160-207
    • Cantor, D.1
  • 19
    • 0001433137 scopus 로고    scopus 로고
    • A weak Néron model with applications to p-adic dynamical systems
    • L. C. Hsia, A weak Néron model with applications to p-adic dynamical systems, Compos. Math. 100 (1996), 277-304.
    • (1996) Compos. Math. , vol.100 , pp. 277-304
    • Hsia, L.C.1
  • 20
    • 0040958552 scopus 로고    scopus 로고
    • Closure of periodic points over a non-archimedean field
    • L. C. Hsia, Closure of periodic points over a non-archimedean field, J. London Math. Soc. (2) 62 (2000), 685-700.
    • (2000) J. London Math. Soc. , vol.62 , Issue.2 , pp. 685-700
    • Hsia, L.C.1
  • 22
    • 27844581581 scopus 로고
    • Periodic points, multiplicities and dynamical units
    • P. Morton and J. Silverman, Periodic points, multiplicities and dynamical units, J. reine angew. Math. 461 (1995), no. 2, 183-208.
    • (1995) J. Reine Angew. Math. , vol.461 , Issue.2 , pp. 183-208
    • Morton, P.1    Silverman, J.2
  • 26
    • 4344716827 scopus 로고    scopus 로고
    • Dynamique des fonctions rationelles sur des corps locaux
    • Juan Rivera-Letelier, Dynamique des fonctions rationelles sur des corps locaux, Astérisque 287 (2003), 147-230.
    • (2003) Astérisque , vol.287 , pp. 147-230
    • Rivera-Letelier, J.1
  • 27
    • 0007215510 scopus 로고    scopus 로고
    • On Bilu's equidistribution theorem
    • R. Rumely, On Bilu's equidistribution theorem, Contemp. Math. 237 (1999), 159-166.
    • (1999) Contemp. Math. , vol.237 , pp. 159-166
    • Rumely, R.1
  • 28
    • 0003237150 scopus 로고
    • Capacity Theory on Algebraic Curves
    • Springer-Verlag
    • R. Rumely, Capacity Theory on Algebraic Curves, Lect. Notes Math. 1378, Springer-Verlag, 1989.
    • (1989) Lect. Notes Math. , vol.1378
    • Rumely, R.1
  • 29
    • 0001685337 scopus 로고
    • On the product of the conjugates outside the unit circle of an algebraic number
    • Addendum ibid. 26 (1973), 329-361
    • A. Schinzel, On the product of the conjugates outside the unit circle of an algebraic number, Acta Arith. 24 (1973), 385-399. Addendum ibid. 26 (1973), 329-361.
    • (1973) Acta Arith. , vol.24 , pp. 385-399
    • Schinzel, A.1
  • 31
    • 0031538582 scopus 로고    scopus 로고
    • Equidistribution des petits points
    • L. Szpiro, E. Ullmo, and S. Zhang, Equidistribution des petits points, Invent. Math. 127 (1997), 337-347.
    • (1997) Invent. Math. , vol.127 , pp. 337-347
    • Szpiro, L.1    Ullmo, E.2    Zhang, S.3
  • 32
    • 0032366332 scopus 로고    scopus 로고
    • Positivité et discrétion des points algébriques des courbes
    • E. Ullmo, Positivité et discrétion des points algébriques des courbes, Ann. Math. (2) 147 (1998), no. 1, 167-179.
    • (1998) Ann. Math. , vol.147 , Issue.1-2 , pp. 167-179
    • Ullmo, E.1
  • 33
    • 84966234441 scopus 로고
    • Algebraic numbers close to both 0 and 1
    • D. Zagier, Algebraic numbers close to both 0 and 1, Math. Comp. 61 (1993), no. 203, 485-491.
    • (1993) Math. Comp. , vol.61 , Issue.203 , pp. 485-491
    • Zagier, D.1
  • 34
    • 84968468901 scopus 로고
    • Positive line bundles on arithmetic varieties
    • S. Zhang, Positive line bundles on arithmetic varieties, J. Amer. Math. Soc. 8 (1995), no. 1, 187-221.
    • (1995) J. Amer. Math. Soc. , vol.8 , Issue.1 , pp. 187-221
    • Zhang, S.1
  • 35
    • 0000027132 scopus 로고
    • Small points and adelic metrics
    • S. Zhang, Small points and adelic metrics, J. Alg. Geom. 4 (1995), no. 1, 281-300.
    • (1995) J. Alg. Geom. , vol.4 , Issue.1 , pp. 281-300
    • Zhang, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.