Journal article
ELECTROSTATICS, HYPERBOLIC GEOMETRY AND WANDERING VECTORS
Journal of the London Mathematical Society, v 69(1)
Feb 2004
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
A family of planar discrete electrostatic systems on the unit circle with finitely atomic external fields is considered. The geometry of particles in the external field yielding a given minimum energy configuration is studied. As an application, the wandering vectors of the shift operator in the Dirichlet spaces associated with finitely atomic measures are also studied. In particular, the zero locus of a wandering vector is discussed.
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Details
- Title
- ELECTROSTATICS, HYPERBOLIC GEOMETRY AND WANDERING VECTORS
- Creators
- ANATOLII Grinshpan - California Institute of Technology
- Publication Details
- Journal of the London Mathematical Society, v 69(1)
- Publisher
- Cambridge University Press
- Number of pages
- 14
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000220236400012
- Scopus ID
- 2-s2.0-1642351196
- Other Identifier
- 991020531826804721
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- Web of Science research areas
- Mathematics