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Probability Surveys ISSN: 1549-5787
 

Summary: Probability Surveys
Vol. 0 (0)
ISSN: 1549-5787
A lecture on the averaging process
David Aldous
Department of Statistics, 367 Evans Hall # 3860, U.C. Berkeley CA 94720
e-mail: aldous@stat.berkeley.edu url: www.stat.berkeley.edu
and
Daniel Lanoue
Department of Mathematics, 970 Evans Hall # 3840, U.C. Berkeley, CA 94720
e-mail: 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

  

Source: Aldous, David J. - Department of Statistics, University of California at Berkeley

 

Collections: Mathematics