Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bootstrap percolation on geometric inhomogeneous random graphs   Geometric inhomogeneous random graphs (GIRGs) are a model for scale-free
networks with underlying geometry. We study bootstrap percolation on these
graphs, which is a process modelling the spread of an infection of vertices
starting within a (small) local region. We show that the process exhibits a
phase transition in terms of the initial infection rate in this region. We
determine the speed of the process in the supercritical case, up to lower order
terms, and show that its evolution is fundamentally influenced by the
underlying geometry. For vertices with given position and expected degree, we
determine the infection time up to lower order terms. Finally, we show how this
knowledge can be used to contain the infection locally by removing relatively
few edges from the graph. This is the first time that the role of geometry on
bootstrap percolation is analysed mathematically for geometric scale-free
networks.

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The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
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The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th