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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.
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https://hal.archives-ouvertes.fr/hal-00864671
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Submitted on : Tuesday, February 25, 2014 - 1:40:32 PM
Last modification on : Friday, July 10, 2020 - 4:03:58 PM
Long-term archiving on: : Sunday, May 25, 2014 - 11:26:12 AM

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

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