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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Recurrent random walks in random and quasi-periodic environments on a strip

## Recurrent random walks in random and quasi-periodic environments on a stripAdd to your list(s) Download to your calendar using vCal - Goldsheid, I (Queen Mary, University of London)
- Wednesday 08 April 2015, 11:30-12:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Periodic and Ergodic Spectral Problems This is joint work with D. DolgopyatWe 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. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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