Menshikov, Mikhail V. and Wade, Andrew (2006) Random walk in random environment with asymptotically zero perturbation. Journal of the European Mathematical Society, 8 (3). pp. 491513. ISSN 14359855

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Abstract
We give criteria for ergodicity, transience and null recurrence for the random walk in random environment on \Z+={0,1,2,…}, with reflection at the origin, where the random environment is subject to a vanishing perturbation. Our results complement existing criteria for random walks in random environments and for Markov chains with asymptotically zero drift, and are significantly different to these previously studied cases. Our method is based on a martingale technique  the method of Lyapunov functions.
Item type:  Article 

ID code:  34459 
Keywords:  random walk in random environment, perturbation of Sinai's regime, recurrence/transience criteria, Lyapunov functions, Probabilities. Mathematical statistics, Applied Mathematics, Mathematics(all) 
Subjects:  Science > Mathematics > Probabilities. Mathematical statistics 
Department:  Faculty of Science > Mathematics and Statistics 
Depositing user:  Pure Administrator 
Date Deposited:  04 Nov 2011 12:52 
Last modified:  12 Dec 2015 17:48 
Related URLs:  
URI:  http://strathprints.strath.ac.uk/id/eprint/34459 
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