Three Favorite Edges Occurs Infinitely Often for One-Dimensional Simple Random Walk

Chen-Xu Hao, Ze-Chun Hu, Ting Ma +1

For a one-dimensional simple symmetric random walk $(S_n)$, an edge $x$ (between points $x-1$ and $x$) is called a favorite edge at time $n$ if its local time at $n$ achieves the m…