| Here, there are various results demonstrating that strongly ergodic classical billiards, when quantized, exhibit quantum ergodicity. |
| In the more difficult half plane problem, the aim is to obtain evolutions which are both temporally and spatially ergodic. |
| While in the Harvard College Observatory he worked on many mathematical and astronomical subjects including topology and ergodic theory. |
| His ergodic theorem gave the kinetic theory of gases a rigorous basis. |
| 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. |
