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Graphical representation of some duality relations in stochastic population models

   
@article{ECP1283,
	author = {Martin Hutzenthaler and Roland Alkemper},
	title = {Graphical representation of some duality relations in stochastic population models},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {12},
	year = {2007},
	keywords = {Duality; graphical representation; Feller's branching diffusion; branching-coalescing particle process; resampling-selection model; stochastic population dynamics},
	abstract = {We derive a unified stochastic picture for the duality of a resampling-selection model with a branching-coalescing particle process (cf. MR2123250) and for the self-duality of Feller's branching diffusion with logistic growth (cf. MR2308333). The two dual processes are approximated by particle processes which are forward and backward processes in a graphical representation. We identify duality relations between the basic building blocks of the particle processes which lead to the two dualities mentioned above.},
	pages = {no. 21, 206-220},
	issn = {1083-589X},
	doi = {10.1214/ECP.v12-1283},    
        url = {http://ecp.ejpecp.org/article/view/1283}}