Generalized Markov operators on deficient topological measures admit unique invariants under Kantorovich-Rubinstein contractions; a new equivariant generalized sample median is introduced; topological measures on spaces of covering dimension at most 1 coincide with Radon measures.
B.: The median in multidimensional spaces
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Image transformations, Markov operators, and sample median
Generalized Markov operators on deficient topological measures admit unique invariants under Kantorovich-Rubinstein contractions; a new equivariant generalized sample median is introduced; topological measures on spaces of covering dimension at most 1 coincide with Radon measures.