Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A spatial stochastic model for rumor transmission   We consider an interacting particle system representing the spread of a rumor
by agents on the $d$-dimensional integer lattice. Each agent may be in any of
the three states belonging to the set {0,1,2}. Here 0 stands for ignorants, 1
for spreaders and 2 for stiflers. A spreader tells the rumor to any of its
(nearest) ignorant neighbors at rate \lambda. At rate \alpha a spreader becomes
a stifler due to the action of other (nearest neighbor) spreaders. Finally,
spreaders and stiflers forget the rumor at rate one. We study sufficient
conditions under which the rumor either becomes extinct or survives with
positive probability.

24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th