Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linked cluster expansions beyond nearest neighbour interactions:
  convergence and graph classes   We generalize the technique of linked cluster expansions on hypercubic
lattices to actions that couple fields at lattice sites which are not nearest
neighbours. We show that in this case the graphical expansion can be arranged
in such a way that the classes of graphs to be considered are identical to
those of the pure nearest neighbour interaction. The only change then concerns
the computation of lattice imbedding numbers. All the complications that arise
can be reduced to a generalization of the notion of free random walks,
including hopping beyond nearest neighbour. Explicit expressions for
combinatorical numbers of the latter are given. We show that under some general
conditions the linked cluster expansion series have a non-vanishing radius of
convergence.

10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th