Random walk models lie at the heart of stochastic dynamics, describing systems in which successive displacements occur according to probability laws. Such processes range from simple, memoryless ...

Reinforced random walks constitute a class of self-interacting processes in which past visits enhance future probabilities of traversal. Over the past decades, two main variants have emerged: ...

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 ...