Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the convergence of densities of finite voter models to the
  Wright-Fisher diffusion   We study voter models defined on large sets. Through a perspective
emphasizing the martingale property of voter density processes, we prove that
in general, their convergence to the Wright-Fisher diffusion only involves
certain averages of the voter models over a small number of spatial locations.
This enables us to identify suitable mixing conditions on the underlying voting
kernels, one of which may just depend on their eigenvalues in some contexts, to
obtain the convergence of density processes. Our examples show that these
conditions are satisfied by a large class of voter models on growing finite
graphs.

35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat