English

A survey of random processes with reinforcement

Probability 2007-05-23 v2

Abstract

The models surveyed include generalized P\'{o}lya urns, reinforced random walks, interacting urn models, and continuous reinforced processes. Emphasis is on methods and results, with sketches provided of some proofs. Applications are discussed in statistics, biology, economics and a number of other areas.

Keywords

Cite

@article{arxiv.math/0610076,
  title  = {A survey of random processes with reinforcement},
  author = {Robin Pemantle},
  journal= {arXiv preprint arXiv:math/0610076},
  year   = {2007}
}

Comments

Published at http://dx.doi.org/10.1214/07-PS094 in the Probability Surveys (http://www.i-journals.org/ps/) by the Institute of Mathematical Statistics (http://www.imstat.org)