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- W2204653627 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 reconstructive if the distributions of 2 sceneries evaluated on the random walk with uniform initial distribution are identical only if one scenery is a shift of the other scenery. Previous results gave a sufficient condition for reconstructivity on finite abelian groups. This paper gives a ready generalization of this sufficient condition to one for reconstructivity on finite non-abelian groups but shows that no random walks on finite non-abelian groups satisfy this sufficient condition." @default.
- W2204653627 created "2016-06-24" @default.
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- W2204653627 date "2015-09-02" @default.
- W2204653627 modified "2023-09-27" @default.
- W2204653627 title "A Condition for Distinguishing Sceneries on Non-abelian Groups" @default.
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