Quantum walks sound abstract, but they sit at the center of a very concrete race: who will harness quantum mechanics to solve ...

Random walks constitute a foundational concept in probability theory, describing the seemingly erratic movement of particles or agents as they traverse a space in a series of stochastic steps. In many ...

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, ...

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 a ...

We establish a correspondence between the limit distribution and the asymptotic entropy of random walks on ℤ, which have a sequence of step length that is exponentially increasing up to some error, ...