arXiv Analytics

Sign in

arXiv:1410.8069 [math.DS]AbstractReferencesReviewsResources

On the leading eigenvalue of transfer operators of the Farey map with real temperature

S. Ben Ammou, C. Bonanno, I. Chouari, S. Isola

Published 2014-10-29Version 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, the operators are self-adjoint and the positive dominant eigenvalue can be approximated by means of the matrix expression of the operators.

Comments: 9 pages, 3 figures
Categories: math.DS, math-ph, math.MP
Related articles: Most relevant | Search more
arXiv:1202.4672 [math.DS] (Published 2012-02-21, updated 2012-02-27)
Spectral properties of the period-doubling operator
arXiv:1704.08971 [math.DS] (Published 2017-04-28)
Distribution of the periodic points of the Farey map
arXiv:0907.1471 [math.DS] (Published 2009-07-09, updated 2011-06-03)
A thermodynamic approach to two-variable Ruelle and Selberg zeta functions via the Farey map

Links

Toolbox