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Discrete Holomorphic Local Dynamical Systems

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Part of the book series: Lecture Notes in Mathematics ((LNMCIME,volume 1998))

Abstract

This chapter is a survey on local dynamics of holomorphic maps in one and several complex variables, discussing in particular normal forms and the structure of local stable sets in the non-hyperbolic case, and including several proofs and a large bibliography.

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  1. Dipartimento di Matematica, Università di Pisa, Largo Pontecorvo 5, 56127, Pisa, Italy

    Marco Abate

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  1. Department of Mathematics "U.Dini", University of Florence, viale Morgagni 67/A, Firenze, 50134, Italy

    Graziano Gentili

  2. Dipartimento di Strutture, Università della Calabria, Ponte Pietro Bucci 39, Arcavacata di Rende (CS), 87036, Italy

    Jacques Guenot

  3. Dipartimento di Matematica "U.Dini", Università di Firenze, viale Morgagni 67/A, Firenze, 50134, Italy

    Giorgio Patrizio

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Abate, M. (2010). Discrete Holomorphic Local Dynamical Systems. In: Gentili, G., Guenot, J., Patrizio, G. (eds) Holomorphic Dynamical Systems. Lecture Notes in Mathematics(), vol 1998. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13171-4_1

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