Random walk in an inhomogeneous medium with local impurities |
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| Authors: | D Szász A Telcs |
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| Institution: | (1) Mathematical Institute of Hungarian Academy of Sciences, Budapest, Hungary;(2) Computer and Automation Institute of Hungarian Academy of Sciences, Budapest, Hungary |
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| Abstract: | In spite of Sinai's result that the decay of the velocity autocorrelation function for a random walk on 
d
(d=2) can drastically change if local impurities are present, it is shown that local impurities can not abolish weak convergence to the Brownian motion if d 2. |
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| Keywords: | Random walk local impurities random environment weak convergence Brownian motion |
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