Let b be an integer greater than 1 and let Wε=(Wn ε;n≥ 0) be a random walk on the b-ary rooted tree Ub, starting at the root, going up (resp. down) with probability 1/2 + ε (resp. 1/2 - ε), ε ∈ (0, ...

We study the range Rn of a random walk on the d-dimensional lattice ℤd indexed by a random tree with n vertices. Under the assumption that the random walk is centered and has finite fourth moments, we ...

Social media users were in stitches over the unexpected Toronto hotspot, with one saying, "I'm rooting for this tree to ...