Example of a graph with one token poised to take a random walk. In this example of dependent percolation, a fickle demon would win (so far), but a clairvoyant demon would be blocked.

Bypasquale Here is the evidence that it can help predict short-run rates and that investors who ignore it and use random walk models may be leaving money on the table. Exchange rates are important ...

Random Walks and Percolation Theory Publication Trend The graph below shows the total number of publications each year in Random Walks and Percolation Theory.

We study two typical examples of countable Markov chains in random environment using the Lyapunov functions method: random walk and random string in random environment. In each case we construct an ...

We derive a perturbation expansion for general self-interacting random walks, where steps are made on the basis of the history of the path. Examples of models where this expansion applies are ...

An interesting paper making the point that you can too forecast foreign exchange rates. Not, of course, at the hour to hour level where people speculate at leverage of 500:1, but over longer time ...

A scaling law for walks on finite networks Our central result is that if we consider any random walk on a finite network, beginning at a designated start node, ending when it reaches a designated ...