MPEJ Volume 5, No.5, 11pp
Received: Jan 14, 1999, Revised: May 12, 1999, Accepted: Nov 18, 1999

Y. Lacroix
Local perturbations of energy and Kac's return time theorem

ABSTRACT:  We introduce the notion of local perturbations for normalized
energies and study their effect on the level of equilibrium measures.
Using coupling technics and Kac's return time theorem, we obtain some
$\bar{d}$-estimates for the equilibrium measures.
These reveal stability of certain energies under local perturbations.
They also show how some weak-$\star$ convergence of equilibrium may be
obtained in absence of $\norm_\infty$-accuracy of the energies.