For maps with several neutral fixed points, every measure in the simplex of fixed-point measures has a basin of attraction of full Hausdorff dimension 1.
On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DS 1years
2025 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems
For maps with several neutral fixed points, every measure in the simplex of fixed-point measures has a basin of attraction of full Hausdorff dimension 1.