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ELECTROSTATICS, HYPERBOLIC GEOMETRY AND WANDERING VECTORS

Published online by Cambridge University Press:  28 January 2004

ANATOLII GRINSHPAN
ANATOLII GRINSHPAN
Affiliation:
Mathematics 253-37, Caltech, Pasadena, CA 91125, USAtolya@caltech.edu
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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.

Keywords

31A9946E2078A3031A35
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 69 , Issue 1 , February 2004 , pp. 169 - 182
Copyright
The London Mathematical Society 2004

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