Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Basin Entropy in Boolean Network Ensembles   The information processing capacity of a complex dynamical system is
reflected in the partitioning of its state space into disjoint basins of
attraction, with state trajectories in each basin flowing towards their
corresponding attractor. We introduce a novel network parameter, the basin
entropy, as a measure of the complexity of information that such a system is
capable of storing. By studying ensembles of random Boolean networks, we find
that the basin entropy scales with system size only in critical regimes,
suggesting that the informationally optimal partition of the state space is
achieved when the system is operating at the critical boundary between the
ordered and disordered phases.

23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex