Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Measure-geometric Laplacians for discrete distributions   In 2002 Freiberg and Z\"ahle introduced and developed a harmonic calculus for
measure-geometric Laplacians associated to continuous distributions. We show
their theory can be extended to encompass distributions with finite support and
give a matrix representation for the resulting operators. In the case of a
uniform discrete distribution we make use of this matrix representation to
explicitly determine the eigenvalues and the eigenfunctions of the associated
Laplacian.

34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int