Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A large deviation principle for empirical measures on Polish spaces:
  Application to singular Gibbs measures on manifolds   We prove a large deviation principle for a sequence of point processes
defined by Gibbs probability measures on a Polish space. This is obtained as a
consequence of a more general Laplace principle for the non-normalized Gibbs
measures. We consider three main applications: Conditional Gibbs measures on
compact spaces, Coulomb gases on compact Riemannian manifolds and the usual
Gibbs measures in the Euclidean space. Finally, we study the generalization of
Fekete points and prove a deterministic version of the Laplace principle known
as $\Gamma$-convergence. The approach is partly inspired by the works of Dupuis
and co-authors. It is remarkably natural and general compared to the usual
strategies for singular Gibbs measures.

32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn