Seminari di Sistemi Dinamici Olomorfi 2012-2013
timetable:
Tue 19 Mar, 14:30 - 15:30, Sala Conferenze Centro De Giorgi
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seminar: Tuning and plateaux for the entropy of \(α\)-continued fractions
speaker: Carlo Carminati (Università di Pisa)abstract: joint work with Giulio Tiozzo http://stacks.iop.org/0951-7715/26/1049
The entropy \(h(T_alpha)\) of \(Alpha\)-continued fraction transformations is known to be locally monotone outside a closed, totally disconnected set \(EE\). We will exploit the explicit description of the fractal structure of \(EE\) to investigate the self-similarities displayed by the graph of the function \(alpha mapsto h(T_alpha)\). Finally, we completely characterize the plateaux occurring in this graph, and classify the local monotonic behaviour.
timetable:
Tue 19 Mar, 14:30 - 15:30, Sala Conferenze Centro De Giorgi
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