Absolutely continuous, invariant measures for dissipative, ergodic transformations

• Autorzy: Jon Aaronson , Tom Meyerovitch
• Języki publikacji: EN

Abstrakty

EN

We show that a dissipative, ergodic measure preserving transformation of a σ-finite, non-atomic measure space always has many non-proportional, absolutely continuous, invariant measures and is ergodic with respect to each one of these.

Kategorie tematyczne

• 37A05: Measure-preserving transformations
• 37A40: Nonsingular (and infinite-measure preserving) transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 110
• Numer: 1
• Strony: 193-199

Daty

wydano

2008

Twórcy

autor

Jon Aaronson

• School of Mathematical Sciences, Tel Aviv University, 69978 Tel Aviv, Israel

autor

Tom Meyerovitch

• School of Mathematical Sciences, Tel Aviv University, 69978 Tel Aviv, Israel

Identyfikatory

DOI

10.4064/cm110-1-7