Regularity of a vector potential problem and its spectral curve

Simple item page
dc.creatorBalogh, F.
dc.creatorBertola, M.
dc.date2008-04-30
dc.date2008-10-27
dc.date.accessioned2026-07-07T10:12:53Z
dc.date.available2026-07-07T10:12:53Z
dc.descriptionIn this note we study a minimization problem for a vector of measures subject to a prescribed interaction matrix in the presence of external potentials. The conductors are allowed to have zero distance from each other but the external potentials satisfy a growth condition near the common points. We then specialize the setting to a specific problem on the real line which arises in the study of certain biorthogonal polynomials (studied elsewhere) and we prove that the equilibrium measures solve a pseudo-algebraic curve under the assumption that the potentials are real analytic. In particular the supports of the equilibrium measures are shown to consist of a finite union of compact intervals.
dc.descriptionv2: Minor corrections suggested by referees
dc.identifierhttps://arxiv.org/abs/0804.4700
dc.identifierhttp://arxiv.org/abs/0804.4700
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172337
dc.subjectMathematical Physics
dc.titleRegularity of a vector potential problem and its spectral curve
dc.typetext

Files

Collections

arXiv