@article{EJP222,
author = {Richard Bass and Edwin Perkins},
title = {Countable Systems of Degenerate Stochastic Differential Equations with Applications to Super-Markov Chains},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {9},
year = {2004},
keywords = {},
abstract = {We prove well-posedness of the martingale problem for an infinite-dimensional degenerate elliptic operator under appropriate Hölder continuity conditions on the coefficients. These martingale problems include large population limits of branching particle systems on a countable state space in which the particle dynamics and branching rates may depend on the entire population in a Hölder fashion. This extends an approach originally used by the authors in finite dimensions.},
pages = {no. 22, 634-673},
issn = {1083-6489},
doi = {10.1214/EJP.v9-222},
url = {http://ejp.ejpecp.org/article/view/222}}