Geodesic
A Remark on the Hull of a Multi-Dimensional Limit-Periodic Potential
Z. Gan1
1 Department of Mathematics, Rice University, Houston, TX 77005, USA
Mathematical modelling of natural phenomena, Tome 8 (2013) no. 1, pp. 75-81.

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We discuss the hull of a multi-dimensional limit-periodic potential and show that such a hull is an inverse limit of product cyclic groups. We present the result in an explicit way, which will be useful for a future study of multi-dimensional limit-periodic Schrödinger operators.
DOI : 10.1051/mmnp/20138105

Z. Gan 1

1 Department of Mathematics, Rice University, Houston, TX 77005, USA 
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Z. Gan. A Remark on the Hull of a Multi-Dimensional Limit-Periodic Potential. Mathematical modelling of natural phenomena, Tome 8 (2013) no. 1, pp. 75-81. doi : 10.1051/mmnp/20138105. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20138105/

[1] A. Avila Commun. Math. Phys. 2009 907 918

[2] J. Avron, B. Simon Commun. Math. Phys. 1981 101 120

[3] D. Damanik, Z. Gan Commun. Pure Appl. Anal. 2011 859 871

[4] D. Damanik, Z. Gan J. Funct. Anal. 2010 4010 4025

[5] D. Damanik, Z. Gan J. d’Analyse Math 2011 33 49

[6] D. Damanik, Z. Gan, Limit-Periodic Schrödinger Operators on Zd : Uniform Localization, preprint

[7] R. Del Rio, S. Jitomirskaya, Y. Last, B. Simon Phys. Rev. Lett. 1995 117 119

[8] R. Del Rio, S. Jitomirskaya, Y. Last, B. Simon J. Anal. Math. 1997 312 322

[9] Z. Gan Math. Model. Nat. Phenom. 2010 158 174

[10] J. Wilson. Profinite Groups, Oxford University Press, New York, USA, 1998

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