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Connected allocation to Poisson points in $\mathbb{R}^2$

  
@article{ECP1268,
	author = {Maxim Krikun},
	title = {Connected allocation to Poisson points in $\mathbb{R}^2$},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {12},
	year = {2007},
	keywords = {Poisson process; Riemann map},
	abstract = {This note answers one question in [1] concerning the connected allocation for the Poisson process in $\mathbb{R}^2$. The proposed solution makes use of the Riemann map from the plane minus the  minimal spanning forest of the Poisson point process to the halfplane.  A picture of a numerically simulated example is included.},
	pages = {no. 15, 140-145},
	issn = {1083-589X},
	doi = {10.1214/ECP.v12-1268},    
        url = {http://ecp.ejpecp.org/article/view/1268}}