| dc.contributor.author | Baernstein, A | |
| dc.contributor.author | Laugesen, RS | |
| dc.contributor.author | Pritsker, IE | |
| dc.date.accessioned | 2024-01-17T19:56:49Z | |
| dc.date.available | 2024-01-17T19:56:49Z | |
| dc.date.issued | 2007-02-15 | |
| dc.identifier | oksd_baernstein_moment_inequalities_for_equilibrium_2007 | |
| dc.identifier.citation | Baernstein, A., Laugesen, R.S., Pritsker, I.E. (2007). Moment inequalities for equilibrium measures in the plane. https://doi.org/10.48550/arxiv.math/0702456 | |
| dc.identifier.uri | https://hdl.handle.net/11244/340128 | |
| dc.description.abstract | The equilibrium measure of a compact plane set gives the steady state distribution of charges on the conductor. We show that certain moments of this equilibrium measure, when taken about the electrostatic centroid and depending only on the real coordinate, are extremal for an interval centered at the origin. This has consequences for means of zeros of polynomials, and for means of critical points of Green’s functions. | |
| dc.description.abstract | We also study moments depending on the distance from the centroid, such as the electrostatic moment of inertia. | |
| dc.format | application/pdf | |
| dc.language | en_US | |
| dc.rights | This material has been previously published. In the Oklahoma State University Library's institutional repository this version is made available through the open access principles and the terms of agreement/consent between the author(s) and the publisher. The permission policy on the use, reproduction or distribution of the material falls under fair use for educational, scholarship, and research purposes. Contact Digital Resources and Discovery Services at lib-dls@okstate.edu or 405-744-9161 for further information. | |
| dc.title | Moment inequalities for equilibrium measures in the plane | |
| dc.date.updated | 2024-01-16T23:28:53Z | |
| osu.filename | oksd_baernstein_moment_inequalities_for_equilibrium_2007.pdf | |
| dc.identifier.doi | 10.48550/arxiv.math/0702456 | |
| dc.description.department | Mathematics | |
| dc.type.genre | Preprint | |
| dc.type.material | Text | |
| dc.subject.keywords | applied mathematics | |
| dc.subject.keywords | mathematical sciences | |
| dc.identifier.author | ORCID: 0000-0002-3102-5003 (Pritsker, IE) | |
| dc.identifier.author | ScopusID: 6602900239 (Pritsker, IE) | |
