This is a preview. Log in through your library . Abstract We consider random walk in a space-time random potential, also known as directed random polymer measures, on the planar square lattice with ...

In nature, random fiber networks such as some of the tissues in the human body, are strong and tough with the ability to hold together but also stretch a lot before they fail. Studying this structural ...

We consider a one-dimensional simple random walk surviving among a field of static soft obstacles: each time it meets an obstacle the walk is killed with probability 1 − e−β, where β is a positive and ...