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Countable Systems of Degenerate Stochastic Differential Equations with Applications to Super-Markov Chains

  
@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}}