Probably methods similar to those employed in the papers referred to would avail for the development of an approximate expression applicable when n is only moderately great.

This is a preview. Log in through your library . Abstract The distributions of random walk quantities like ascending ladder heights and the maximum are shown to be phase-type provided that the generic ...

This is a preview. Log in through your library . Abstract The higher-order transition probability generating functions for a random walk with correlation between steps is calculated as a ...

Download PDF More Formats on IMF eLibrary Order a Print Copy Create Citation This paper addresses a key puzzle in international finance: whether exchange rates follow a random walk or exhibit ...

Juggling competing demands in a network of feverishly calculating computers drawing on the same memory resources is like trying to avert collisions among blindfolded, randomly zigzagging ice skaters.

The lesson of Lord Rayleigh’s solution is that in open country the most probable place to find a drunken man who is at all capable of keeping on his feet is somewhere near his starting point!

Quantum walks are changing the way scientists think about computation. They use the strange and powerful rules of quantum physics—such as superposition, interference, and entanglement—to solve ...

Scientists have initiated a quantum random walk by shining lasers on a row of trapped ions. They showed that the observed locations of vibrations spreading out over time matched the predictions of ...