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Seminari di Sistemi Dinamici Olomorfi 2015-2016

seminar: Random continued fractions

speaker: Charlene Kalle (Leiden University)

abstract: We introduce a random dynamical system that produces for almost all points in the interval -1,1 uncountably many different continued fraction expansions. This system basically consists of random combinations of two well known continued fraction maps, namely the Gauss map and the backwards continued fraction map. We show that the random system has an invariant measure of a specific form and we identify some of its properties.

timetable:
Tue 17 Nov, 15:00 - 16:00, Sala Conferenze Centro De Giorgi
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