Stochastic dynamical systems arise in many scientific fields, such as asset prices in financial markets, neural activity in ...

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 ...

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

Journal of the Royal Statistical Society. Series A (General), Vol. 147, No. 2, The 150th Anniversary of the Royal Statistical Society (1984), pp. 233-244 (12 pages) Probability theory as a branch of ...

A newly discovered set of mathematical equations describes how to turn any sequence of random events into a clock, scientists ...

Annals of Mathematics, Second Series, Vol. 164, No. 2 (Sep., 2006), pp. 603-648 (46 pages) We find a sharp combinatorial bound for the metric entropy of sets in ${\Bbb R}^{n}$ and general classes of ...

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 ...

Silicon photonics is rapidly emerging as a promising technology to enable higher bandwidth, lower energy, and lower latency communication and information processing, and other applications. In silicon ...