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SUMMARY:Recurrent random walks in random and quasi-periodic environments o
 n a strip - Goldsheid\, I (Queen Mary\, University of London)
DTSTART:20150408T103000Z
DTEND:20150408T113000Z
UID:TALK58832@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:This is joint work with D. Dolgopyat\n</p><p>\nWe prove that a
  recurrent random walk (RW) in random environment (RE) on a strip which do
 es not obey the Sinai law exhibits the Central Limit asymptotic behaviour.
 \n</p><p>\nWe also show that there exists a collection of proper sub-varie
 ties in the space of transition probabilities such that\n</p><p>\n1. If RE
  is stationary and ergodic and the transition probabilities are concentrat
 ed on one of sub-varieties from our collection then the CLT holds\; \n2. I
 f the environment is i.i.d then the above condition is also necessary for 
 the CLT.\n</p><p>\nAs an application of our techniques we prove the CLT fo
 r quasi-periodic environments with Diophantine frequencies. One-dimensiona
 l RWRE with bounded jumps are a particular case of the strip model.
LOCATION:Seminar Room 1\, Newton Institute
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