On analytic invariant measures for expanding mappings

K. Krzyżewski

Displaying similar documents to “On analytic invariant measures for expanding mappings”

A remark on expanding mappings

K. Krzyżewski (1979)

Colloquium Mathematicae

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Exactness of expanding mappings

Jolanta Socała (1988)

Annales Polonici Mathematici

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Analytic Surgery and the Eta Invariant.

R.B. Melrose, R.R. Mazzeo (1995)

Geometric and functional analysis

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On topological classification of complex mappings

Hadi Seyedinejad, Ali Zaghian (2015)

Annales Polonici Mathematici

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We study the topological invariant ϕ of Kwieciński and Tworzewski, particularly beyond the case of mappings with smooth targets. We derive a lower bound for ϕ of a general mapping, which is similarly effective as the upper bound given by Kwieciński and Tworzewski. Some classes of mappings are identified for which the exact value of ϕ can be computed. Also, we prove that the variation of ϕ on the source space of a mapping with a smooth target is semicontinuous in the Zariski topology. ...

Invariance identity in the class of generalized quasiarithmetic means

Janusz Matkowski (2014)

Colloquium Mathematicae

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An invariance formula in the class of generalized p-variable quasiarithmetic means is provided. An effective form of the limit of the sequence of iterates of mean-type mappings of this type is given. An application to determining functions which are invariant with respect to generalized quasiarithmetic mean-type mappings is presented.