Quantum walks sound abstract, but they sit at the center of a very concrete race: who will harness quantum mechanics to solve ...

We consider the continuous time symmetric random walk with a slow bond on ℤ, which rates are equal to 1/2 for all bonds, except for the bond of vertices {−1, 0}, which associated rate is given by αn−β ...

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 ...