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Sistemi dinamici nonlineari e applicazioni

Continued fraction encoding of kneading sequences

speaker: Carlo Carminati (Università di Pisa)

abstract: We will show that a certain set E, which is relevant in connection with the family of $\alpha$-continued fraction transformations, is also connected with the set $\Lambda$ which encodes all possible kneading sequences of unimodal maps.

The set E can be described in terms of (ordinary) continued fraction expansions and is also strictly connected to constant type numbers.


timetable:
Fri 18 Feb, 9:00 - 9:45, Aula Bianchi Scienze
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