Abstract

On définit l’hamiltonien d’Anderson H sur une variété de dimension deux à l’aide du calcul paracontrôlé d’ordre supérieur. C’est un opérateur auto-adjoint avec spectre purement discret. On obtient des bornes inférieures et supérieures sur ses valeurs propres qui impliquent une loi de type Weyl presque sûre pour H.

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