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 ...

We study the behavior of random walk in random environment (RWRE) on trees in the critical case left open in previous work. Representing the random walk by an electrical network, we assume that the ...

A team from the Institute for Advanced Study, Emory University in the US, and the Weizmann Institute of Science, Israel, has developed a new mathematical framework to understand how humans store ...