caa a22 4500 445869534 CHVBK 20180317145507.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1007/s00605-010-0270-4 doi (NATIONALLICENCE)springer-10.1007/s00605-010-0270-4 Hyperbolicity of the trace map for a strongly coupled quasiperiodic Schrödinger operator [Elektronische Daten] [Emiliano De Simone, Laurent Marin] We consider the trace map associated with the silver ratio Schrödinger operator as a diffeomorphism on the invariant surface associated with a given coupling constant and prove that the non-wandering set of this map is hyperbolic if the coupling is sufficiently large. As a consequence, for this values of the coupling constant, the local and global Hausdorff dimension and the local and global box counting dimension of the spectrum of this operator all coincide and are smooth functions of the coupling constant. Springer-Verlag, 2010 Symbolic dynamics nationallicence Smale horseshoe nationallicence Schrödinger operators nationallicence De Simone Emiliano Department of Mathematics, University of Helsinki, Gustaf Hällströmin katu 2b, P.O.Box 68, 00014, Helsinki, Finland aut Marin Laurent Department of Mathematics, University of Helsinki, Gustaf Hällströmin katu 2b, P.O.Box 68, 00014, Helsinki, Finland aut Monatshefte für Mathematik Springer Vienna 163/2(2011-06-01), 211-235 0026-9255 163:2<211 2011 163 605 https://doi.org/10.1007/s00605-010-0270-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00605-010-0270-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- De Simone Emiliano Department of Mathematics, University of Helsinki, Gustaf Hällströmin katu 2b, P.O.Box 68, 00014, Helsinki, Finland aut NATIONALLICENCE 700 1- Marin Laurent Department of Mathematics, University of Helsinki, Gustaf Hällströmin katu 2b, P.O.Box 68, 00014, Helsinki, Finland aut NATIONALLICENCE 773 0- Monatshefte für Mathematik Springer Vienna 163/2(2011-06-01), 211-235 0026-9255 163:2<211 2011 163 605 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer