Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On notions of harmonicity   In this paper, we address the equivalence of the analytic and probabilistic
notions of harmonicity in the context of general symmetric Hunt processes on
locally compact separable metric spaces. Extensions to general symmetric right
processes on Lusin spaces including infinite dimensional spaces are mentioned
at the end of this paper.

13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
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
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph