Dynamics of Rational Surface Automorphisms: Linear Fractional Recurrences
Tóm tắt
Từ khóa
Tài liệu tham khảo
Baker, A.: The theory of linear forms in logarithms. In: Baker, A., Masser, D.W. (eds.) Transcendence Theory: Advances and Applications, pp. 1–27. Academic Press, San Diego (1977)
Bedford, E., Diller, J.: Real and complex dynamics of a family of birational maps of the plane: the golden mean subshift. Am. J. Math. 127(3), 595–646 (2005)
Bedford, E., Diller, J.: Dynamics of a two parameter family of plane birational maps: maximal entropy. J. Geom. Anal. 16(3), 409–430 (2006)
Bedford, E., Kim, K.H.: Periodicities in linear fractional recurrences: degree growth of birational surface maps. Mich. Math. J. 54, 647–670 (2006)
Bedford, E., Lyubich, M., Smillie, J.: Polynomial diffeomorphisms of C 2. IV. The measure of maximal entropy and laminar currents. Invent. Math. 112(1), 77–125 (1993)
Bedford, E., Smillie, J.: Polynomial diffeomorphisms of C 2. II. Stable manifolds and recurrence. J. Am. Math. Soc. 4(4), 657–679 (1991)
Bedford, E., Smillie, J.: Real polynomial diffeomorphisms with maximal entropy: Tangencies. Ann. Math. (2) 160(1), 1–26 (2004)
Cantat, S.: Dynamique des automorphismes des surfaces projectives complexes. C. R. Acad. Sci. Paris Sér. I Math. 328(10), 901–906 (1999)
Diller, J., Jackson, D., Sommese, A.: Invariant curves for birational surface maps. Trans. AMS 359, 2973–2991 (2007). math.AG/0505014
Floyd, W.: Growth of planar Coxeter groups, P.V. numbers, and Salem numbers. Math. Ann. 293, 475–483 (1992)
Fornæss, J.-E., Sibony, N.: Classification of recurrent domains for some holomorphic maps. Math. Ann. 301(4), 813–820 (1995)
Gromov, M.: Entropy, homology and semialgebraic geometry. In: Séminaire Bourbaki, vol. 1985/86. Astérisque No. 145–146, 5, pp. 225–240 (1987)
Harbourne, B.: Rational surfaces with infinite automorphism group and no antipluricanonical curve. Proc. AMS 99, 409–414 (1987)
Kocic, V.I., Ladas, G., Rodrigues, I.W.: On rational recursive sequences. J. Math. Anal. Appl. 173, 127–157 (1993)
Kulenovic, M., Ladas, G.: Dynamics of Second Order Rational Difference Equations. CRC Press, Boca Raton (2002)
Lyness, R.C.: Notes 1581, 1847, and 2952. Math. Gaz. 26, 62 (1942), 29, 231 (1945), and 45, 201 (1961)
McMullen, C.: Dynamics on K3 surfaces: Salem numbers and Siegel disks. J. Reine Angew. Math. 545, 201–233 (2002)
Pöschel, J.: On invariant manifolds of complex analytic mappings near fixed points. Exp. Math. 4(2), 97–109 (1986)
Ueda, T.: Critical orbits of holomorphic maps on projective spaces. J. Geom. Anal. 8, 319–334 (1998)
Zeeman, C.: Geometric unfolding of a difference equation. Lecture
Zehnder, E.: A simple proof of a generalization of a theorem by C.L. Siegel. In: Geometry and topology. Proc. III Latin Amer. School of Math., Inst. Mat. Pura Aplicada CNPq, Rio de Janeiro, 1976. Lecture Notes in Math., vol. 597, pp. 855–866. Springer, Berlin (1977)