Induced ...-Homomorphisms and a Parametrization of Measurable Sections via Extremal Preimage Measures.
On Bandt's Tangential Distribution for Self-Similar Measures.
A selection theorem for Boolean correspondences.
A Radon-Nikodym theorem for capacities.
Distortion mismatch in the quantization of probability measures
We elucidate the asymptotics of the -quantization error induced by a sequence of -optimal -quantizers of a probability distribution on when . In particular we show that under natural assumptions, the optimal rate is preserved as long as (and for every in the case of a compactly supported distribution). We derive some applications of these results to the error bounds for quantization based cubature formulae in numerical integration on and on the Wiener space.
Realizing homomorphisms of category algebras
Extremal preimage measures and measurable weak sections
A survey on lifting in measure theory
Selected results on measurable selections
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