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 ...

The original version of this story appeared in Quanta Magazine. In the movie Oppenheimer, Niels Bohr challenges the physicist early in his career: Bohr: Algebra is like sheet music. The important ...

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 ...

ABSTRACT Reliability is an important engineering requirement for consistently delivering acceptable product performance through time. As time progresses, the product may fail due to time-dependent ...

Here’s a game Claude Shannon, the founder of information theory, invented in 1948. He was trying to model the English language as a random process. Go to your bookshelf, pick up a random book, open it ...

CATALOG DESCRIPTION: Advanced topics in random processes: point processes, Wiener processes; Markov processes, spectral representation, series expansion of random processes, linear filtering, Wiener ...

In the real world, probability is a tough thing to characterize. If I roll a die, what does it mean to say that it has a one-sixth chance of coming up 5? We say that the outcome is random because we ...

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 ...

In Raiders of the Lost Ark, Indiana Jones must find a secret chamber that contains the legendary Ark of the Covenant. To identify its exact location, Indy must uncover a special map that’s only ...

Have you ever come across a statement like this: “I can’t believe that something as beautiful and complex as the human eye could be the result of a random process like evolution”? Or this: “It seems ...