Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Influence Spread in the Heterogeneous Multiplex Linear Threshold Model   The linear threshold model (LTM) has been used to study spread on
single-layer networks defined by one inter-agent sensing modality and agents
homogeneous in protocol. We define and analyze the heterogeneous multiplex LTM
to study spread on multi-layer networks with each layer representing a
different sensing modality and agents heterogeneous in protocol. Protocols are
designed to distinguish signals from different layers: an agent becomes active
if a sufficient number of its neighbors in each of any $a$ of the $m$ layers is
active. We focus on Protocol OR, when $a=1$, and Protocol AND, when $a=m$,
which model agents that are most and least readily activated, respectively. We
develop theory and algorithms to compute the size of the spread at steady state
for any set of initially active agents and to analyze the role of distinguished
sensing modalities, network structure, and heterogeneity. We show how
heterogeneity manages the tension in spreading dynamics between sensitivity to
inputs and robustness to disturbances.

22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg