Invariant measures and the compactness of the domain

• Autorzy: Marian Jabłoński , Paweł Góra
• Języki publikacji: EN

Abstrakty

EN

We consider piecewise monotonic and expanding transformations τ of a real interval (not necessarily bounded) into itself with countable number of points of discontinuity of τ' and with some conditions on the variation $V_{[0,x]}(1/|τ'|)$ which need not be a bounded function (although it is bounded on any compact interval). We prove that such transformations have absolutely continuous invariant measures. This result generalizes all previous "bounded variation" existence theorems.

Kategorie tematyczne

• 28D05: Measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1998
• Tom: 69
• Numer: 1
• Strony: 13-24

Daty

wydano

1998

otrzymano

1995-10-20

poprawiono

1997-09-29

Twórcy

autor

Marian Jabłoński

• Institute of Computer Science, Jagiellonian University, Nawojki 11, 30-072 Kraków, Poland

autor

Paweł Góra

• 7141 Sherbrooke Street West, Montreal, Quebec, Canada H4B 1R6

Bibliografia

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