Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Burstiness and fractional diffusion on complex networks   Many dynamical processes on real world networks display complex temporal
patterns as, for instance, a fat-tailed distribution of inter-events times,
leading to heterogeneous waiting times between events. In this work, we focus
on distributions whose average inter-event time diverges, and study its impact
on the dynamics of random walkers on networks. The process can naturally be
described, in the long time limit, in terms of Riemann-Liouville fractional
derivatives. We show that all the dynamical modes possess, in the asymptotic
regime, the same power law relaxation, which implies that the dynamics does not
exhibit time-scale separation between modes, and that no mode can be neglected
versus another one, even for long times. Our results are then confirmed by
numerical simulations.

21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph