Stochastic dynamical systems arise in many scientific fields, such as asset prices in financial markets, neural activity in the brain, or the spread of infectious diseases. Petar Jovanovski's Ph.D.

Brownian motion describes the random movement of particles in fluids, however, this revolutionary model only works when a fluid is static, or at equilibrium. In real-life, fluids often contain ...

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 ...

Mention the word “turbulence” and you might conjure up images of bumpy flights, stormy weather, and choppy ocean or river currents. For many, turbulence is a fact of daily life, yet it is also one of ...

In baseball, studying luck means separating out the roles of skill and chance in performance. But new, more sophisticated methods of modeling randomness are changing other fields, too. Below, areas ...