On the leading eigenvalue of transfer operators of the Farey map with   real temperature
  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, the operators are self-adjoint and the positive dominant eigenvalue can be approximated by means of the matrix expression of the operators. 
S. Ben Ammou, C. Bonanno, I. Chouari, S. Isola
math.DS math-ph math.MP