A lecture on the averaging process

By David J. Aldous, Daniel Lanoue. 2012

50 citations recorded by the source corpus.

Author(s): Aldous, D; Lanoue, D | 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 vij, and update theirstates according to some specified rule. The averaging process has real-valued states and the rule: upon meeting, the values Xi(t-),Xj (t-) arereplaced by 1/2 (Xi(t-) + Xj (t-)), 1/2 (Xi(t-) + Xj (t-)). It is curious this simple process has not been studied very systematically. We provide an expository account of basic facts and open problems.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/73770f20cdab94dfc4118c4818b0bf01b90802cc

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In Mathematical Physics

1. Remco van der Hofstad
2. Gerard Hooghiemstra
3. Shankar Bhamidi
4. Grant Robert Schoenebeck

In Statistical and Nonlinear Physics

1. Remco van der Hofstad
2. Gerard Hooghiemstra
3. Shankar Bhamidi
4. Grant Robert Schoenebeck

Citations in the corpus

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