%0 Report
%D 2006
%T Large Parameter Behavior of Equilibrium Measures
%A Tamara Grava
%A Fei-Ran Tian
%X 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).
%B Commun. Math. Sci. 4 (2006) 551-573
%G en_US
%U http://hdl.handle.net/1963/1789
%1 2755
%2 Mathematics
%3 Mathematical Physics
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