Upper and lower bounds on the Renyi dimensions and the uniformity of multifractals
From MaRDI portal
Publication:912468
DOI10.1016/0167-2789(90)90028-NzbMath0698.60021OpenAlexW2074935545MaRDI QIDQ912468
Publication date: 1990
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(90)90028-n
Distribution theory (60E99) Spaces and manifolds of mappings (including nonlinear versions of 46Exx) (58D99)
Related Items (8)
INHERENT FEATURES OF FRACTAL SETS AND KEY ATTRIBUTES OF FRACTAL MODELS ⋮ Strong and weak duality principles for fractal dimension in Euclidean space ⋮ Digital generators of chaos ⋮ Some results on the behavior and estimation of the fractal dimensions of distributions on attractors ⋮ Dimension spectra for multbfractal measures with connections to nonparametric density estimation∗ ⋮ Thermodynamic formalism for quantum-mechanical systems ⋮ Uniformity of the phase space and fluctuations in thermal equilibrium ⋮ Theory and examples of the inverse Frobenius–Perron problem for complete chaotic maps
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The infinite number of generalized dimensions of fractals and strange attractors
- The thermodynamic formalism for expanding maps
- The entropy function for characteristic exponents
- The Ruelle-Araki transfer operator in classical statistical mechanics
- The transition to aperiodic behavior in turbulent systems
- Effects of phase space discretization on the long-time behavior of dynamical systems
- Scaling laws for invariant measures on hyperbolic and nonhyperbolic attractors.
- The singularity spectrumf(α) for cookie-cutters
- On the geometric structure of non-hyperbolic attractors
- Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
This page was built for publication: Upper and lower bounds on the Renyi dimensions and the uniformity of multifractals
