Geodesic
Equilibrium Measures on a Compact Riemann Surface
Informatics and Automation, Mathematical physics and applications, Tome 306 (2019), pp. 313-351

Voir la notice de l'article provenant de la source Math-Net.Ru

Various notions of energy are introduced for charges on a compact Riemann surface that generalize the corresponding notions of logarithmic potential theory in the complex plane. Standard properties of the corresponding equilibrium measures are proved both in the case of measures supported on a given compact set and in the case of measures with arbitrary supports. 
@article{TRSPY_2019_306_a23,
     author = {E. M. Chirka},
     title = {Equilibrium {Measures} on a {Compact} {Riemann} {Surface}},
     journal = {Informatics and Automation},
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     volume = {306},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2019_306_a23/}
}
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E. M. Chirka. Equilibrium Measures on a Compact Riemann Surface. Informatics and Automation, Mathematical physics and applications, Tome 306 (2019), pp. 313-351. http://geodesic.mathdoc.fr/item/TRSPY_2019_306_a23/