How to cite item

Recurrence for vertex-reinforced random walks on Z with weak reinforcements.

   
@article{ECP3242,
	author = {Arvind Singh},
	title = {Recurrence for vertex-reinforced random walks on Z with weak reinforcements.},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {19},
	year = {2014},
	keywords = {Self-interacting random walk; reinforcement; recurrence and transience},
	abstract = {We prove that any vertex-reinforced random walk on the integer lattice with non-decreasing reinforcement sequence $w$ satisfying $w(k) = o(k^{\alpha})$ for some $\alpha <1/2$ is recurrent. This improves on previous results of Volkov (2006) and Schapira (2012).},
	pages = {no. 14, 1-6},
	issn = {1083-589X},
	doi = {10.1214/ECP.v19-3242},    
        url = {http://ecp.ejpecp.org/article/view/3242}}