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Conference Papers Year : 2011

Computability of the Radon-Nikodym derivative

Abstract

We show that computability of the Radon-Nikodym derivative of a measure μ absolutely continuous w.r.t. some other measure λ can be reduced to a single application of the non-computable operator EC, which transforms enumeration of sets (in N) to their characteristic functions. We also give a condition on the two measures (in terms of the computability of the norm of a certain linear operator involving the two measures) which is sufficient to compute the derivative.
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Dates and versions

inria-00586740 , version 1 (18-04-2011)

Identifiers

  • HAL Id : inria-00586740 , version 1

Cite

Mathieu Hoyrup, Cristobal Rojas, Klaus Weihrauch. Computability of the Radon-Nikodym derivative. Computability in Europe, Jun 2011, Sofia, Bulgaria. pp.132-141. ⟨inria-00586740⟩
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