Dynamical Green Functions and Discrete Schrödinger Operators with Potentials Generated by Primitive Invertible Substitution

Arnaud Girand

doi:10.1088/0951-7715/27/3/527

Dynamical Green Functions and Discrete Schrödinger Operators with Potentials Generated by Primitive Invertible Substitution

Arnaud Girand ¹

1 IRMAR - Institut de Recherche Mathématique de Rennes

Abstract : In this paper, we set up a "dictionary" between discrete Schrödinger operators and the holomorphic dynamics on certain affine cubic surfaces, building on previous work by Cantat, Damanik and Gorodetski. Paragraphs 3.2.2 and 3.2.3 were written by Serge Cantat as an appendix.

Keywords : Dynamical Green Functions Discrete Schrödinger Operators Holomorphic Dynamics

Type de document :

Article dans une revue

Nonlinearity, IOP Publishing, 2014, 27 (3), pp.527-543. <10.1088/0951-7715/27/3/527>

Domaine :

Mathématiques [math] / Systèmes dynamiques [math.DS]

Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00864671
Contributeur : Arnaud Girand <>
Soumis le : mardi 25 février 2014 - 13:40:32
Dernière modification le : mercredi 12 juillet 2017 - 01:15:38
Document(s) archivé(s) le : dimanche 25 mai 2014 - 11:26:12

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