In this paper we give a survey of some recent results for random walk in random scenery (RWRS). On ${\Bbb Z}^{d},d\geq 1$, we are given a random walk with i.i.d. increments and a random scenery with i ...

The steps of a one-dimensional random walk are positive and occur randomly in time at a fixed mean rate. The sizes of the steps are independent and the size of each step has the same given probability ...

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 ...