Questo è un sunto dello stato dell'arte della dinamica olomorfa complessa dai tempi di Poincaré ai giorni nostri. Sono inoltre indicate alcune nuove idee per mettere in relazione la dinamica discreta con la dinamica continua. È il testo della conferenza tenuta dall'autore nel XVII Convegno dell'UMI a Milano.
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Con il contributo del Ministero per i Beni e le Attività Culturali