Ergodic Theorems for Weakly Interacting Infinite Systems and the Voter Model

@article{citeulike:1153223, abstract = {A theorem exhibiting the duality between certain infinite systems of interacting stochastic processes and a type of branching process is proved. This duality is then used to study the ergodic properties of the infinite system. In the case of the vector model a complete understanding of the ergodic behavior is obtained.}, author = {Holley, Richard A. and Liggett, Thomas M. }, citeulike-article-id = {1153223}, journal = {The Annals of Probability}, keywords = {model, opinion, spread, voter}, number = {4}, pages = {643--663}, posted-at = {2007-03-10 23:00:21}, priority = {2}, title = {Ergodic Theorems for Weakly Interacting Infinite Systems and the Voter Model}, url = {http://www.jstor.org/stable/2959329}, volume = {3}, year = {1975} }

TY - JOUR ID - citeulike:1153223 L3 - citeulike-article-id:1153223 TI - Ergodic Theorems for Weakly Interacting Infinite Systems and the Voter Model JF - The Annals of Probability VL - 3 IS - 4 SP - 643 EP - 663 N2 - A theorem exhibiting the duality between certain infinite systems of interacting stochastic processes and a type of branching process is proved. This duality is then used to study the ergodic properties of the infinite system. In the case of the vector model a complete understanding of the ergodic behavior is obtained. KW - model KW - opinion KW - spread KW - voter AU - Holley, Richard AU - Liggett, Thomas PY - 1975/// UR - http://www.jstor.org/stable/2959329 ER -