TY - JOUR

T1 - Reconstructing the environment seen by a RWRE

AU - Gantert, Nina

AU - Nagel, Jan

PY - 2014/5/7

Y1 - 2014/5/7

N2 - 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 reconstruct the law of the environment? We show that in a one-dimensional environment, the law of the environment can be reconstructed. This model can be seen as a special case of a scenery reconstruction problem, where the steps of the random walker depend on the scenery.

AB - 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 reconstruct the law of the environment? We show that in a one-dimensional environment, the law of the environment can be reconstructed. This model can be seen as a special case of a scenery reconstruction problem, where the steps of the random walker depend on the scenery.

KW - Random walk in random environment

KW - Scenery reconstruction

UR - http://www.scopus.com/inward/record.url?scp=84900402942&partnerID=8YFLogxK

U2 - 10.1214/ECP.v19-3013

DO - 10.1214/ECP.v19-3013

M3 - Article

AN - SCOPUS:84900402942

SN - 1083-589X

VL - 19

JO - Electronic Communications in Probability

JF - Electronic Communications in Probability

ER -