- Tytuł:
- Sur les dimensions de mesures
- Autorzy:
- Hua Fan, Ai
- Powiązania:
- https://bibliotekanauki.pl/articles/1290182.pdf
- Data publikacji:
- 1994
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
upper and lower dimension
dimension formulas
unidimensional
multifractal
Gibbs measure
Markov measure
Riesz product - Opis:
- Firstly, we introduce the lower and upper dimensions for a measure defined on a metric space. Secondly, we establish the dimension formulas and characterize the unidimensional measures which were introduced by J.-P. Kahane. Lastly, we give some applications of these to the calculus of dimensions and the multifractal analysis of certain well known measures such as Lebesgue measures on Cantor sets, Gibbs measures, Markov measures and Riesz products etc.
- Źródło:
-
Studia Mathematica; 1994, 111, 1; 1-17
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł