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Estimates of capacity of self-similar measures

100%

Myjak J., Szarek T.

Annales Polonici Mathematici

2002

tom 78

nr 2

141-157

We give lower and upper estimates of the capacity of self-similar measures generated by iterated function systems ${(S_i,p_i): i=1,...,N}$ where $S_i$ are bi-lipschitzean transformations.

Szpilrajn type theorem for concentration dimension

100%

Myjak J., Szarek T.

Fundamenta Mathematicae

2002

tom 172

nr 1

19-25

Let X be a locally compact, separable metric space. We prove that $dim_{T} X = inf{dim_{L} X': X' is homeomorphic to X}$, where $dim_{L} X$ and $dim_{T} X$ stand for the concentration dimension and the topological dimension of X, respectively.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Fundamenta Mathematicae

2 Myjak J.

2 Szarek T.

2 2002

Wyniki wyszukiwania

Estimates of capacity of self-similar measures

Szpilrajn type theorem for concentration dimension