This duality structure, interesting by itsetf, is also instrumental in proving some of the ergodic results. |
For the quadrant version, we prove the existence of temporally ergodic evolutions and of spatially ergodic ones. |
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. |
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. |