 
Summary: Probability Surveys
Vol. 0 (0)
ISSN: 15495787
A lecture on the averaging process
David Aldous
Department of Statistics, 367 Evans Hall # 3860, U.C. Berkeley CA 94720
email: aldous@stat.berkeley.edu url: www.stat.berkeley.edu
and
Daniel Lanoue
Department of Mathematics, 970 Evans Hall # 3840, U.C. Berkeley, CA 94720
email: dlanoue@math.berkeley.edu
Abstract: To interpret interacting particle system style models as social
dynamics, suppose each pair {i, j} of individuals in a finite population
meet at random times of arbitrary specified rates ij, and update their
states according to some specified rule. The averaging process has real
valued states and the rule: upon meeting the values Xi(t), Xj(t) are
replaced by 1
2
(Xi(t) + Xj(t)), 1
2
