TY - JOUR
AU - Orive, R.
AU - SÃ¡nchez-Lara, J.
T1 - Equilibrium measures in the presence of certain rational external fields
LA - eng
PY - 2015
SP - 1224
EP - 1252
T2 - Journal of Mathematical Analysis and Applications
SN - 1096-0813
VL - 431
IS - 2
PB - Academic Press Inc.
AB - Equilibrium measures in the real axis in the presence of rational external fields are considered. These external fields are called rational since their derivatives are rational functions. We analyze the evolution of the equilibrium measure, and its support, when the size of the measure, t, or other parameters in the external field vary. Our analysis is illustrated by studying with detail the case of a generalized Gauss-Penner model, which, in addition to its mathematical relevance, has important physical applications (in the framework of random matrix models). This paper is a natural continuation of [18], where equilibrium measures in the presence of polynomial external fields are thoroughly studied.
DO - 10.1016/J.JMAA.2015.06.022
UR - https://portalciencia.ull.es/documentos/5e3c3aec29995246bbf5fdd8
DP - Dialnet - Portal de la InvestigaciÃ³n
ER -