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Displaying similar documents to “An inverse problem for the discrete periodic Schrödinger operator.”

An Exposition of the Connection between Limit-Periodic Potentials and Profinite Groups

Z. Gan (2010)

Mathematical Modelling of Natural Phenomena

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We classify the hulls of different limit-periodic potentials and show that the hull of a limit-periodic potential is a procyclic group. We describe how limit-periodic potentials can be generated from a procyclic group and answer arising questions. As an expository paper, we discuss the connection between limit-periodic potentials and profinite groups as completely as possible and review some recent results on Schrödinger operators obtained in ...