Seminari di Sistemi Dinamici e Olomorfi 2010-2011
timetable:
Wed 5 May, 16:00 - 17:00, Sala Riunioni del Centro De Giorgi
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seminar: A canonical thickening of Q and the dynamics of continued fractions
speaker: Carlo Carminati (Università di Pisa)abstract: We construct a countable family of open intervals contained in (0,1] whose endpoints are quadratic surds and such that their union is a full measure set. We then show that these intervals are precisely the monotonicity intervals of the entropy of alpha-continued fractions, thus proving a conjecture of Nakada and Natsui.
timetable:
Wed 5 May, 16:00 - 17:00, Sala Riunioni del Centro De Giorgi
<< Go back