Topological conjugation to uniformly piecewise linear transformations

• Autorzy: Christof K

Identyfikatory

DOI

10.1515/JAA-2013-012

• Języki publikacji: EN

Abstrakty

EN

For a one-dimensional discrete time system S on the closed unit interval I we introduce an operator QS, which transforms a distribution function G into a distribution function Q_SG under the backward operation of S. We study the operator QS for piecewise linear transformations S and give conditions under which the iterations G₀, Q_SG₀, Q_S(Q_SG₀), … of the distribution function G₀ converge to a QS-invariant distribution function G, which conjugates S and the corresponding piecewise linear transformation T of constant slope.

Słowa kluczowe

EN

distribution function; Q-operator; topological conjugacy

PL

funkcja rozkładu; operator Q; sprzężenie topologiczne

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2013
• Tom: Vol. 19, nr 2
• Strony: 197--211
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Christof K

• Department of Mathematics, University of Innsbruck, 6020 Innsbruck, Austria

Bibliografia

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