Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fixation for Distributed Clustering Processes   We study a discrete-time resource flow in $Z^d$, where wealthier vertices
attract the resources of their less rich neighbors. For any
translation-invariant probability distribution of initial resource quantities,
we prove that the flow at each vertex terminates after finitely many steps.
This answers (a generalized version of) a question posed by van den Berg and
Meester in 1991. The proof uses the mass-transport principle and extends to
other graphs.

28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio