Abstract
We describe a family of random walks in random environments which have exponentially decaying correlations, nearest neighbor transition probabilities which are bounded away from 0, and yet are subdiffusive in any dimensiond<∞.
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Communicated by M. Aizenman
This author partially supported by NSF grant DMS 83-1080
This author partially supported by NSF grant DMS-85-05020 and the Army Research Office through the Mathematical Sciences Institute at Cornell University
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Bramson, M., Durrett, R. Random walk in random environment: A counterexample?. Commun.Math. Phys. 119, 199–211 (1988). https://doi.org/10.1007/BF01217738
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DOI: https://doi.org/10.1007/BF01217738