Far East Journal of Dynamical Systems
Volume 27, Issue 1, Pages 13 - 25
(September 2015)
http://dx.doi.org/10.17654/FJDSSep2015_013_025 |
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ON THE SPECTRUM OF THE TRANSFER OPERATORS OF A ONE-PARAMETER FAMILY WITH INTERMITTENCY TRANSITION
S. Ben Ammou, C. Bonanno, I. Chouari and S. Isola
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Abstract:
We study the transfer operators for a family  depending on the parameter  which interpolates between the tent map and the Farey map. In particular, considering the action of the transfer operator on a suitable Hilbert space, we can define a family of infinite matrices associated to the operators and study their spectrum by numerical methods. |
| Keywords and phrases: transfer operators, intermittent maps. |
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