Recurrence and transience of Rademacher series

Satyaki Bhattacharya, Stanislav Volkov

We introduce the notion of {\bf a}-walk $S(n)=a_1{X}_1+\cdots +a_n{X}_n$, based on a sequence of positive numbers $\mathbf{a}=(a_1,a_2,\dots )$ and a Rademacher sequence $X_1,X_2,\dots$. W…