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2014 Reconstructing the environment seen by a RWRE
Nina Gantert, Jan Nagel
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Electron. Commun. Probab. 19: 1-9 (2014). DOI: 10.1214/ECP.v19-3013

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 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.<br />

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Nina Gantert. Jan Nagel. "Reconstructing the environment seen by a RWRE." Electron. Commun. Probab. 19 1 - 9, 2014. https://doi.org/10.1214/ECP.v19-3013

Information

Accepted: 7 May 2014; Published: 2014
First available in Project Euclid: 7 June 2016

zbMATH: 1312.60119
MathSciNet: MR3208325
Digital Object Identifier: 10.1214/ECP.v19-3013

Subjects:
Primary: 60K37
Secondary: 60J10

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