Reconstructing the environment seen by a RWRE

Nina Gantert, Jan Nagel

Publikation: Beitrag in FachzeitschriftArtikelBegutachtung

2 Zitate (Scopus)

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.

OriginalspracheEnglisch
FachzeitschriftElectronic Communications in Probability
Jahrgang19
DOIs
PublikationsstatusVeröffentlicht - 7 Mai 2014

Fingerprint

Untersuchen Sie die Forschungsthemen von „Reconstructing the environment seen by a RWRE“. Zusammen bilden sie einen einzigartigen Fingerprint.

Dieses zitieren