Email this article Equilibrium Measures on a Compact Riemann Surface
- Authors: Chirka E.M.1
-
Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 306, No 1 (2019)
- Pages: 296-334
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175932
- DOI: https://doi.org/10.1134/S0081543819050249
- ID: 175932
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Abstract
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.
About the authors
E. M. Chirka
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: chirka@mi-ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991
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