Equilibrium Potentials with External Fields

DOI10.1023/B:UKMA.0000018005.67743.86zbMath1074.31502OpenAlexW2061819463MaRDI QIDQ5704399

Natalia Zorii

Publication date: 14 November 2005

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:ukma.0000018005.67743.86

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Potentials and capacities on other spaces (31C15)

Related Items (23)

Asymptotics of greedy energy points ⋮ Minimum Riesz energy problems for a condenser with touching plates ⋮ Rapid Solution of Minimal Riesz Energy Problems ⋮ Riesz spherical potentials with external fields and minimal energy points separation ⋮ Constrained minimum Riesz energy problems for a condenser with intersecting plates ⋮ Equilibrium problems for infinite dimensional vector potentials with external fields ⋮ Non-standard green energy problems in the complex plane ⋮ Minimum Riesz energy problems with external fields ⋮ Equilibrium problems for vector potentials with semidefinite interaction matrices and constrained masses ⋮ Minimum energy problems with external fields on locally compact spaces ⋮ On point-mass Riesz external fields on the real axis ⋮ Generating Point Configurations via Hypersingular Riesz Energy with an External Field ⋮ On Riesz minimal energy problems ⋮ Riesz energy problems with external fields and related theory ⋮ Logarithmic and Riesz Equilibrium for Multiple Sources on the Sphere: The Exceptional Case ⋮ Riesz external field problems on the hypersphere and optimal point separation ⋮ First-order global asymptotics for confined particles with singular pair repulsion ⋮ Riesz minimal energy problems on Ck−1,1-manifolds ⋮ Various concepts of Riesz energy of measures and application to condensers with touching plates ⋮ Balayage ping-pong: a convexity of equilibrium measures ⋮ Necessary and sufficient conditions for the solvability of the Gauss variational problem for infinite dimensional vector measures ⋮ Riesz extremal measures on the sphere for axis-supported external fields ⋮ Distributing many points on spheres: minimal energy and designs

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