摘要：We consider recurrence versus transience for models of random walks on growing in time, connected subsets $\mathbb{G}_t$ of some fixed locally finite, connected graph, in which monotone interaction enforces such growth as a result of visits by the walk (or probes it sent), to the neighborhood of the boundary of $\mathbb{G}_t$.
关键词：Recurrence; interacting particle system; reinforced random walk; random walk on growing domains;Primary 60K35; Secondary 82C41, 60G50
