Large Parameter Behavior of Equilibrium Measures
| dc.contributor.area | Mathematics | en_US |
| dc.contributor.author | Grava, Tamara | en_US |
| dc.contributor.author | Tian, Fei-Ran | en_US |
| dc.contributor.department | Mathematical Physics | en_US |
| dc.date.accessioned | 2005 | en_US |
| dc.date.accessioned | 2011-09-07T20:28:33Z | |
| dc.date.available | 2005 | en_US |
| dc.date.available | 2011-09-07T20:28:33Z | |
| dc.date.issued | 2005 | en_US |
| dc.description.abstract | We study the equilibrium measure for a logarithmic potential in the presence of an external field V*(x) + tp(x), where t is a parameter, V*(x) is a smooth function and p(x) a monic polynomial. When p(x) is of an odd degree, the equilibrium measure is shown to be supported on a single interval as |t| is sufficiently large. When p(x) is of an even degree, the equilibrium measure is supported on two disjoint intervals as t is negatively large; it is supported on a single interval for convex p(x) as t is positively large and is likely to be supported on multiple disjoint intervals for non-convex p(x). | en_US |
| dc.format.extent | 291341 bytes | en_US |
| dc.format.mimetype | application/pdf | en_US |
| dc.identifier.citation | Commun. Math. Sci. 4 (2006) 551-573 | en_US |
| dc.identifier.uri | https://openscience.sissa.it/handle/1963/1789 | en_US |
| dc.language.iso | en_US | en_US |
| dc.relation.ispartofseries | SISSA;92/2005/FM | en_US |
| dc.relation.ispartofseries | arXiv.org;math-ph/0506040 | en_US |
| dc.title | Large Parameter Behavior of Equilibrium Measures | en_US |
| dc.type | Preprint | en_US |