Recurrent random walks in random and quasi-periodic environments on a strip
Duration: 1 hour 2 mins
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About this item
| Description: |
Goldsheid, I (Queen Mary, University of London)
Wednesday 08 April 2015, 11:30-12:30 |
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| Created: | 2015-04-13 10:22 |
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| Collection: | Periodic and Ergodic Spectral Problems |
| Publisher: | Isaac Newton Institute |
| Copyright: | Goldsheid, I |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | This is joint work with D. Dolgopyat
We prove that a recurrent random walk (RW) in random environment (RE) on a strip which does not obey the Sinai law exhibits the Central Limit asymptotic behaviour. We also show that there exists a collection of proper sub-varieties in the space of transition probabilities such that 1. If RE is stationary and ergodic and the transition probabilities are concentrated on one of sub-varieties from our collection then the CLT holds; 2. If the environment is i.i.d then the above condition is also necessary for the CLT. As an application of our techniques we prove the CLT for quasi-periodic environments with Diophantine frequencies. One-dimensional RWRE with bounded jumps are a particular case of the strip model. |
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