Dynamical Green Functions and Discrete Schrödinger Operators with Potentials Generated by Primitive Invertible Substitution - Archive ouverte HAL Access content directly
Journal Articles Nonlinearity Year : 2014

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

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.
Fichier principal
Vignette du fichier
2013-green4.pdf (252.84 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00864671 , version 1 (23-09-2013)
hal-00864671 , version 2 (25-02-2014)

Identifiers

Cite

Arnaud Girand. Dynamical Green Functions and Discrete Schrödinger Operators with Potentials Generated by Primitive Invertible Substitution. Nonlinearity, 2014, 27 (3), pp.527-543. ⟨10.1088/0951-7715/27/3/527⟩. ⟨hal-00864671v2⟩
227 View
174 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More