Spectral properties of a class of generalized Ruelle operators

Tanaka, Haruyoshi

Hiroshima Math. J., Tome 39 (2009) no. 1, p. 181-205 / Harvested from Project Euclid

Résumé

We consider a class of Ruelle type operators which play an important role in the study of singular perturbation of symbolic dynamics via thermodynamic formalism. We study the eigenvalues of those operators with maximal modulus and obtain necessary and suffcient conditions for them to be semisimple.

Publié le : 2009-07-15
Classification: Ruelle operator, Ruelle-Perron-Frobenius Theorem, symbolic dynamics, 37B10, 37C30

@article{1249046336,
     author = {Tanaka, Haruyoshi},
     title = {Spectral properties of a class of generalized Ruelle operators},
     journal = {Hiroshima Math. J.},
     volume = {39},
     number = {1},
     year = {2009},
     pages = { 181-205},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1249046336}
}

Tanaka, Haruyoshi. Spectral properties of a class of generalized Ruelle operators. Hiroshima Math. J., Tome 39 (2009) no. 1, pp.  181-205. http://gdmltest.u-ga.fr/item/1249046336/