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Walking within growing domains: recurrence versus transience

   
@article{EJP3272,
	author = {Amir Dembo and Ruojun Huang and Vladas Sidoravicius},
	title = {Walking within growing domains: recurrence versus transience},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {19},
	year = {2014},
	keywords = {Recurrence; reinforced random walk; growing domains; reflected Brownian motion; diffusion limited aggregation; percolation},
	abstract = {For normally reflected Brownian motion and for simple random walk on independently growing in time $d$-dimensional domains, $d\ge3$, we establish a sharp criterion for recurrence versus transience in terms of the growth rate.},
	pages = {no. 106, 1-20},
	issn = {1083-6489},
	doi = {10.1214/EJP.v19-3272},    
        url = {http://ejp.ejpecp.org/article/view/3272}}