We study the asymptotic behavior of a multidimensional random walk in a general cone. We find the tail asymptotics for the exit time and prove integral and local limit theorems for a random walk ...

The last time I looked at random walks, I used them to calculate the value of Pi for Pi Day. But what is a random walk, really? A mathematician will tell you that it's a stochastic process—a path ...

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 ...