Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Navigation by anomalous random walks on complex networks   Anomalous random walks having long-range jumps are a critical branch of
dynamical processes on networks, which can model a number of search and
transport processes. However, traditional measurements based on mean first
passage time are not useful as they fail to characterize the cost associated
with each jump. Here we introduce a new concept of mean first traverse distance
(MFTD) to characterize anomalous random walks that represents the expected
traverse distance taken by walkers searching from source node to target node,
and we provide a procedure for calculating the MFTD between two nodes. We use
Levy walks on networks as an example, and demonstrate that the proposed
approach can unravel the interplay between diffusion dynamics of Levy walks and
the underlying network structure. Interestingly, applying our framework to the
famous PageRank search, we can explain why its damping factor empirically
chosen to be around 0.85. The framework for analyzing anomalous random walks on
complex networks offers a new useful paradigm to understand the dynamics of
anomalous diffusion processes, and provides a unified scheme to characterize
search and transport processes on networks.

33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci