5 citations · 9 across the 3 of their papers we have counts for
3 papers
math.DS2015★ 1 cited
Escape rates for the Farey map with approximated holes
Claudio Bonanno, Imen Chouari
We study the escape rate for the Farey map, an infinite measure preserving system, with a hole including the indifferent fixed point. Due to the ergodic properties of the map, the…
math.DS2015★ 3 cited
On the spectrum of the transfer operators of a one-parameter family with intermittency transition
S. Ben Ammou, C. Bonanno, I. Chouari +1
We study the transfer operators for a family depending on the parameter , which interpolates between the tent map and the Farey map. In particular…
math.DS2014★ 5 cited
On the leading eigenvalue of transfer operators of the Farey map with real temperature
S. Ben Ammou, C. Bonanno, I. Chouari +1
We study the spectral properties of a family of generalized transfer operators associated to the Farey map. We show that when acting on a suitable space of holomorphic functions, t…