Branching processes in random environments constitute a significant class of stochastic models designed to capture the interplay between intrinsic reproductive dynamics and extrinsic environmental ...

The title probably doesn't make a lot of sense, so let me lay out what I'm doing. I'm in the early stages of creating a framework for generating test data for a specific problem domain. One of the ...

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.

A mathematician who developed formulas to make random processes more predictable and helped to solve an iconic model of complex phenomena has won the 2024 Abel Prize, one of the field’s most coveted ...

Stochasticity is everywhere -- and finding the order in disorder can unlock new ways to understand biology. Erlon Silva - TRI Digital/Moment via Getty Images Cancer is often seen as a disease that ...

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 ...

Consider a real-valued discrete-time stationary and ergodic stochastic process, called the noise process. For each dimension n, we can choose a stationary point process in Rn and a translation ...