Reconstructing the environment seen by a RWRE
Abstract
Consider a walker performing a random walk in an i.i.d. random environment, and assume that the walker tells us at each time the environment it sees at its present location. Given this history of the transition probabilities seen from the walker  but not its trajectory  can we tell if the RWRE is recurrent or transient? Can we reconstruct the law of the environment? We show that in a onedimensional environment, the law of the environment can be reconstructed, and we know in particular if the RWRE is recurrent or transient.
 Publication:

arXiv eprints
 Pub Date:
 September 2013
 arXiv:
 arXiv:1309.3175
 Bibcode:
 2013arXiv1309.3175G
 Keywords:

 Mathematics  Probability;
 60K37;
 60J10