%0 Journal Article %1 Holley1975 %A Holley, Richard A. %A Liggett, Thomas M. %D 1975 %I Institute of Mathematical Statistics %J The Annals of Probability %K opinion-formation voter-model %N 4 %P 643--663 %R 10.2307/2959329 %T Ergodic Theorems for Weakly Interacting Infinite Systems and the Voter Model %V 3 %X 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.

@article{Holley1975, 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.}, added-at = {2011-03-10T17:29:06.000+0100}, author = {Holley, Richard A. and Liggett, Thomas M.}, biburl = {https://www.bibsonomy.org/bibtex/219c7c95d45912c21b2f1e63b2ea73432/rincedd}, doi = {10.2307/2959329}, interhash = {47645d71309179d0ca681965327676fe}, intrahash = {19c7c95d45912c21b2f1e63b2ea73432}, journal = {The Annals of Probability}, keywords = {opinion-formation voter-model}, number = 4, pages = {643--663}, publisher = {Institute of Mathematical Statistics}, timestamp = {2011-03-10T17:29:06.000+0100}, title = {Ergodic Theorems for Weakly Interacting Infinite Systems and the Voter Model}, volume = 3, year = 1975 }