Ben Ammou, S.; Bonanno, C.; Chouari, I.; Isola, S. On the spectrum of the transfer operators of a one-parameter family with intermittency transition. (English) Zbl 1336.37019 Far East J. Dyn. Syst. 27, No. 1, 13-25 (2015). Summary: We study the transfer operators for a family \(F_r:[0,1]\to[0,1]\) depending on the parameter \(r\in[0,1]\) 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. Cited in 1 Document MSC: 37C30 Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. 37D25 Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) Keywords:transfer operators; intermittent maps PDFBibTeX XMLCite \textit{S. Ben Ammou} et al., Far East J. Dyn. Syst. 27, No. 1, 13--25 (2015; Zbl 1336.37019) Full Text: DOI arXiv