Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The effective impedances of infinite ladder networks and Dirichlet
  problem on graphs   We calculate effective impedances of infinite $LC$- and $CL$- ladder networks
as limits of effective impedances of finite network approximations, using a new
method, which involves precise mathematical concepts. These concepts are
related to the classical differential operators on weighted graphs. As an
auxiliary result, we solve a discrete boundary value Dirichlet problem on a
finite ladder network.

28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an