| In the stochastic case, we prove a multiplicative ergodic theorem, asserting that the stochastic spectral vector exists in all cases. |
| Armed with this understanding of the definition of ergodicity, we can now discuss some important properties of ergodic systems. |
| He introduced ergodic methods into number theory in his first work. |
| We have a long way to go before we understand the ergodic theory of strange attractors. |
| His ergodic theorem gave the kinetic theory of gases a rigorous basis. |
| Under appropriate assumptions on the boundary conditions and on the services, we obtain ergodic results for both versions of the model. |
