Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classes of critical avalanche dynamics in complex networks   Dynamical processes exhibiting absorbing states are essential in the modeling
of a large variety of situations from material science to epidemiology and
social sciences. Such processes exhibit the possibility of avalanching behavior
upon slow driving. Here, we study the distribution of sizes and durations of
avalanches for well-known dynamical processes on complex networks. We find that
all analyzed models display a similar critical behavior, characterized by the
presence of two distinct regimes. At small scales, sizes and durations of
avalanches exhibit distributions that are dependent on the network topology and
the model dynamics. At asymptotically large scales instead -- irrespective of
the type of dynamics and of the topology of the underlying network -- sizes and
durations of avalanches are characterized by power-law distributions with the
exponents of the standard mean-field critical branching process.

16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th