## A large deviation principle for weighted Riesz interactions

We prove a large deviation principle for the sequence of push-forwards of empirical measures in the setting of Riesz potential interactions on compact subsets $K$ in $R^d$ with continuous external fields. Our results are valid for base measures on $K$ satisfying a strong Bernstein-Markov type property for Riesz potentials. Furthermore, we give sufficient conditions on K (which are satisfied if $K$ is a smooth submanifold) so that a measure on $K$ which satisfies a mass-density condition will also satisfy this strong Bernstein-Markov property.

Publication Date:
Oct 23 2017
Date Submitted:
Mar 01 2019
Pagination:
119-140
Citation:
Constructive Approximation, 47, 1
Note:
A freely accessible, full text version is available using the link(s) in External Resources.
External Resources: