We establish the uniform almost-sure convergence of a kernel estimate of the conditional density for an ergodic process. A useful application to the prediction of the ergodic process via the ...

In this paper we obtain some ergodic properties and ergodic decompositions of a continuous-time, Borel right Markov process taking values in a locally compact and separable metric space. Initially, we ...

For more than a century scientists have relied on the “ergodic theorem” to explain diffusive processes such as the movement of molecules in a liquid. However, they had not been able to confirm ...

The realization of a quantum kicked top provides evidence for ergodic dynamics and thermalization in a small quantum system consisting of three superconducting qubits.

A process is ergodic if its probability doesn’t change over time. A roulette wheel, for example, is ergodic: the chances of it rolling the number 16 are 36-1 (or 37-1 if you’re in the US).

The study of ergodic breaking is instructive for market collapse and recovery in finance, brain epilepsy in neural networks, and early warning of critical leaps in complex systems.