96-383 Hans Koch

A Renormalization Group for Hamiltonians, with Applications to KAM Tori (163K, plain TeX) Aug 22, 96

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Abstract. We describe a family of renormalization group transformations which apply to the problem of stability of invariant tori for analytic Hamiltonians. Each of these transformations corresponds to a fixed rotation vector, within a certain class of vectors in R^d. As an application, we prove a KAM-type theorem that yields analytic invariant d-tori depending analytically on the Hamiltonian.

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