Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interpolating between Random Walks and Shortest Paths: a Path Functional
  Approach   General models of network navigation must contain a deterministic or drift
component, encouraging the agent to follow routes of least cost, as well as a
random or diffusive component, enabling free wandering. This paper proposes a
thermodynamic formalism involving two path functionals, namely an energy
functional governing the drift and an entropy functional governing the
diffusion. A freely adjustable parameter, the temperature, arbitrates between
the conflicting objectives of minimising travel costs and maximising spatial
exploration. The theory is illustrated on various graphs and various
temperatures. The resulting optimal paths, together with presumably new
associated edges and nodes centrality indices, are analytically and numerically
investigated.

34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg