Dynamical systems and ergodic theory constitute a vibrant area of mathematical research that encompasses the study of systems evolving over time, whether these systems originate from physical ...

Dynamical systems and chaos theory provide a rigorous mathematical framework to describe, analyse and predict the evolution of systems over time. These fields study how simple deterministic rules can ...

A research team has developed a novel method for estimating the predictability of complex dynamical systems. Their work, "Time-lagged recurrence: A data-driven method to estimate the predictability of ...

The Annals of Applied Probability, Vol. 27, No. 6 (December 2017), pp. 3255-3304 (50 pages) The asymptotic behavior of the stochastic gradient algorithm using biased gradient estimates is analyzed.

Duke University engineers are using artificial intelligence to do something scientists have chased for centuries; turn messy, real-world motion into simple rules you can write down. The work comes ...

Scientific American is part of Springer Nature, which owns or has commercial relations with thousands of scientific publications (many of them can be found at www ...