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Random walks on discrete Abelian groups

Volume 152 / 2018

Margaryta Myronyuk Colloquium Mathematicum 152 (2018), 273-284 MSC: Primary 60G50; Secondary 60B15, 43A25. DOI: 10.4064/cm6462-11-2016 Published online: 2 March 2018


The present paper is devoted to the “recurrence/transience” problem for random walks of nearest-neighbour type on subgroups of $\mathbb {Q}$ which are not isomorphic to $\mathbb {Z}$.


  • Margaryta MyronyukB. Verkin Institute for Low Temperature Physics and Engineering
    National Academy of Sciences of Ukraine
    47, Nauky Ave.
    Kharkiv, 61103, Ukraine

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