Metastability and random walks constitute central paradigms in the study of stochastic processes, providing deep insights into transient phenomena and long-term dynamics in complex systems.

We study the range Rn of a random walk on the d-dimensional lattice ℤd indexed by a random tree with n vertices. Under the assumption that the random walk is centered and has finite fourth moments, we ...

Tiny particles like pollen grains move constantly, pushed and pulled by environmental forces. To study this motion, physicists use a “random walk” model — a system in which every step is determined by ...

In math, there’s a concept called a random walk, where an object moves across space in no clear pattern. At Yale, it’s been easy to feel pigeonholed into a prescribed path: completing our majors, ...