CRM: Centro De Giorgi
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Seminari di Sistemi Dinamici e Olomorfi 2010-2011

seminar: From continued fractions to unimodal maps and back

speaker: Giulio Tiozzo (Yale University)

abstract: The continued fraction expansion and the binary expansion are two of the most widely used methods to represent a real number by means of a sequence of integers. By relating the two codings, we provide an identification between the following three 'exceptional' sets arising in complex dynamics and arithmetics: the set of exceptional parameters for a family of generalized Gauss maps, the real slice of the abstract Mandelbrot set, and the set of univoque numbers.

Mon 10 Jan, 11:30 - 12:30, Sala Conferenze Centro De Giorgi
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