Upper estimate of concentration and thin dimensions of measures

• Autorzy: Gacki H. , Lasota A. , Myjak J.
• 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.

Słowa kluczowe

EN

upper concentration dimension; upper thin dimension; squeezing property; invariant measure; iterated function system

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2009
• Tom: Vol. 57, no 2
• Strony: 149--162
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Gacki H.

autor

Lasota A.

autor

Myjak J.

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

Bibliografia

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