A condition for distinguishing sceneries on non-abelian groups

Martin Hildebrand

Stochastic Processes and their Applications, 2017, vol. 127, issue 7, 2339-2345

Abstract: A scenery f on a finite group G is a function from G to {0,1}. A random walk v(t) on G is said to be able to distinguish two sceneries if the distributions of the sceneries evaluated on the random walk with uniform initial distribution are identical only if one scenery is a shift of the other scenery. This paper generalizes a sufficient condition of Finucane, Tamuz, and Yaari for distinguishing two sceneries on finite abelian groups to one for finite non-abelian groups but shows that no random walks on finite non-abelian groups satisfy this sufficient condition.

Keywords: Sceneries; Random walks; Finite non-abelian groups (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1016/j.spa.2016.11.001

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