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math-ph2007★ 1 cited
Spectral analysis of transfer operators associated to Farey fractions
Claudio Bonanno, Sandro Graffi, Stefano Isola
The spectrum of a one-parameter family of signed transfer operators associated to the Farey map is studied in detail. We show that when acting on a suitable Hilbert space of analyt…
math.DS2007
A renormalization approach to irrational rotations
Claudio Bonanno, Stefano Isola
We introduce a renormalization procedure which allows us to study in a unified and concise way different properties of the irrational rotations on the unit circle $β\mapsto \set{α+…