On the support of the equilibrium measure for arcs of the unit circle and for real intervals
Electronic transactions on numerical analysis, Tome 25 (2006), pp. 27-40
We study the support of the equilibrium measure for weights defined on arcs of the unit circle and on intervals of the compactified real line. We provide several conditions to ensure that the support of the equilibrium measure is one interval or one arc.
Classification : 31A15, 30C15, 78A30
Keywords: logarthmic potential theory, external fields, equilibrium measure, equilibrium support
@article{ETNA_2006__25__a30,
     author = {Benko,  D. and Damelin,  S.B. and Dragnev,  P.D.},
     title = {On the support of the equilibrium measure for arcs of the unit circle and for real intervals},
     journal = {Electronic transactions on numerical analysis},
     pages = {27--40},
     year = {2006},
     volume = {25},
     zbl = {1131.31301},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__25__a30/}
}
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Benko,  D.; Damelin,  S.B.; Dragnev,  P.D. On the support of the equilibrium measure for arcs of the unit circle and for real intervals. Electronic transactions on numerical analysis, Tome 25 (2006), pp. 27-40. http://geodesic.mathdoc.fr/item/ETNA_2006__25__a30/