Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equilibrium measures and capacities in spectral theory   This is a comprehensive review of the uses of potential theory in studying
the spectral theory of orthogonal polynomials. Much of the article focuses on
the Stahl-Totik theory of regular measures, especially the case of OPRL and
OPUC. Links are made to the study of ergodic Schrodinger operators where one of
our new results implies that, in complete generality, the spectral measure is
supported on a set of zero Hausdorff dimension (indeed, of capacity zero) in
the region of strictly positive Lyapunov exponent. There are many examples and
some new conjectures and indications of new research directions. Included are
appendices on potential theory and on Fekete-Szego theory.

5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex