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Seminari di Sistemi Dinamici 2023

Random iteration on hyperbolic Riemann surfaces

speaker: Marco Abate (Dipartimento di Matematica, Università di Pisa)

abstract: In this talk we shall describe the asymptotic behaviour of sequences of functions obtained by iteratively left-composing or right-composing holomorphic self-maps of a hyperbolic Riemann surface X. We shall consider in detail two cases: when the holomorphic self-maps to be composed have values in a Bloch subdomain of X and when the holomorphic self-maps to be composed are sufficiently close to a given self-map. This is a joint work with Argyrios Christodoulou.

timetable:
Wed 22 Mar, 16:00 - 17:00, Sala Conferenze Centro De Giorgi
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