Upper Estimate of Concentration and Thin Dimensions of Measures

• Autorzy: H. Gacki , A. Lasota , J. Myjak
• Języki publikacji: EN

Abstrakty

EN

We show upper estimates of the concentration and thin dimensions of measures invariant with respect to families of transformations. These estimates are proved under the assumption that the transformations have a squeezing property which is more general than the Lipschitz condition. These results are in the spirit of a paper by A. Lasota and J. Traple [Chaos Solitons Fractals 28 (2006)] and generalize the classical Moran formula.

Kategorie tematyczne

• 37C40: Smooth ergodic theory, invariant measures
• 37C45: Dimension theory of dynamical systems
• 11K55: Metric theory of other algorithms and expansions; measure and Hausdorff dimension
• 28A80: Fractals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2009
• Tom: 57
• Numer: 2
• Strony: 149-162

Daty

wydano

2009

Twórcy

autor

H. Gacki

• Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland

autor

A. Lasota

• [deceased]

autor

J. Myjak

• Dipartimento di Matematica Pura ed Applicata, Università di L'Aquila, Via Vetoio, 67100 L'Aquila, Italy
• WMS AGH, Al. Mickiewicza 30, 30-059 Kraków, Poland

Identyfikatory

DOI

10.4064/ba57-2-8