| Here, there are various results demonstrating that strongly ergodic classical billiards, when quantized, exhibit quantum ergodicity. |
| Under appropriate assumptions on the boundary conditions and on the services, we obtain ergodic results for both versions of the model. |
| He introduced ergodic methods into number theory in his first work. |
| This duality structure, interesting by itsetf, is also instrumental in proving some of the ergodic results. |
| In the stochastic case, we prove a multiplicative ergodic theorem, asserting that the stochastic spectral vector exists in all cases. |
| We have a long way to go before we understand the ergodic theory of strange attractors. |
