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Loop-Erased Walks Intersect Infinitely Often in Four Dimensions

   
@article{ECP991,
	author = {Gregory Lawler},
	title = {Loop-Erased Walks Intersect Infinitely Often in Four Dimensions},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {3},
	year = {1998},
	keywords = {Random Walks, Loop-Erased Walks, Intersections},
	abstract = {In this short note we show that the paths two independent loop-erased random walks in four dimensions intersect infinitely often. We actually prove the stronger result that the cut-points of the two walks intersect infinitely often.},
	pages = {no. 5, 35-42},
	issn = {1083-589X},
	doi = {10.1214/ECP.v3-991},    
        url = {http://ecp.ejpecp.org/article/view/991}}