Abstract
We consider a nearly-elastic model system with one degree of freedom. In each collision with the "wall", the system can either lose or gain a small amount of energy due to stochastic perturbation. The weak limit of the corresponding slow motion, which is a stochastic process on a graph, is calculated. A large deviation type asymptotics and the metastability of the system are also considered.
Original language | English (US) |
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Pages (from-to) | 65-86 |
Number of pages | 22 |
Journal | Asymptotic Analysis |
Volume | 79 |
Issue number | 1-2 |
DOIs | |
State | Published - 2012 |
Externally published | Yes |
Keywords
- Markov processes on graphs
- averaging
- large deviations
- metastability
- random walk