Geodesic
An Exposition of the Connection between Limit-Periodic Potentials and Profinite Groups
Z. Gan1
1 Department of Mathematics, Rice University, 77005 Houston, USA
Mathematical modelling of natural phenomena, Tome 5 (2010) no. 4, pp. 158-174.

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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 this context.
DOI : 10.1051/mmnp/20105407

Z. Gan 1

1 Department of Mathematics, Rice University, 77005 Houston, USA 
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Z. Gan. An Exposition of the Connection between Limit-Periodic Potentials and Profinite Groups. Mathematical modelling of natural phenomena, Tome 5 (2010) no. 4, pp. 158-174. doi : 10.1051/mmnp/20105407. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105407/

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