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 ...

A dynamical system in which repeated measurements on a single particle yield the same mean result as a single measurement of the whole ensemble is said to be ergodic. The ergodic theorem expresses a ...

We prove a nonlinear ergodic theorem for noncommutative semigroups of nonexpansive mappings in a Hilbert space. Furthermore, we give a necessary and sufficient condition for a noncommutative semigroup ...

Experiments by biochemists show for the first time that a law of physics, the ergodic theorem, can be demonstrated by a collection of individual protein molecules -- specifically, a protein that ...

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 ...

This is a preview. Log in through your library . Abstract An analogue of the Frobenius Reciprocity Theorem is proved for virtual groups over a locally compact separable group G. Specifically, an ...