Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Majority dynamics and the median process: connections, convergence and
  some new conjectures   We consider the median dynamics process in general graphs. In this model,
each vertex has an independent initial opinion uniformly distributed in the
interval [0,1] and, with rate one, updates its opinion to coincide with the
median of its neighbors. This process provides a continuous analog of majority
dynamics. We deduce properties of median dynamics through this connection and
raise new conjectures regarding the behavior of majority dynamics on general
graphs. We also prove these conjectures on some graphs where majority dynamics
has a simple description.

8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess