124 citations · 452 across the 28 of their papers we have counts for
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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-ph2007★ 1 cited
A uniform quantum version of the Cherry theorem
Carlos Villegas Blas, Sandro Graffi
Consider in the operator family . is the quantum harmonic oscillator with diophantine frequency vector $\om$, a bounded pseudodiffe…