Dynamical Green functions and discrete Schrödinger operators with potentials generated by primitive invertible substitution
作者： Arnaud Girand
DOI: 10.1088/0951-7715/27/3/527
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摘要: In this paper, we set up a 'dictionary' between discrete Schrodinger operators and holomorphic dynamics on certain affine cubic surfaces, building previous work by Cantat, Damanik Gorodetski. To achieve this, make use of potential theory: detailed description the dynamical Green functions is obtained; then basic results concerning equilibrium measures compact subsets are used to transfer statements from context one. This provides new viewpoint several recent theorems.
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