Some New Concepts of Dimension
DOI10.1007/978-3-7643-8482-1_25zbMath1211.26002OpenAlexW52848793MaRDI QIDQ3525267
Publication date: 12 September 2008
Published in: Progress in Nonlinear Differential Equations and Their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-7643-8482-1_25
variational principlesdifferential equationsHausdorff dimensionpacking dimensionfractalsiterated function systemstopological dimensioninformation dimensionconcentration dimension
Discrete-time Markov processes on general state spaces (60J05) Set-valued functions (26E25) Baire category, Baire spaces (54E52) Fractals (28A80) Spaces of measures, convergence of measures (28A33) Hausdorff and packing measures (28A78) Classification of real functions; Baire classification of sets and functions (26A21)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Typical properties of correlation dimension.
- The infinite number of generalized dimensions of fractals and strange attractors
- Dimension and structure of typical compact sets, continua and curves
- Interval maps, factors of maps, and chaos
- Minimizing therapeutically induced anemia
- Some results on the behavior and estimation of the fractal dimensions of distributions on attractors
- Category and dimension of compact subsets of \(\mathbb R^n\)
- Dimension of measures invariant with respect to the Ważewska partial differential equation.
- On the Hausdorff dimension of Cantor-like sets with overlaps
- Box and packing dimensions of typical compact sets
- On the box dimension of typical measures
- Statistical study of Navier-Stokes equations. II
- A multifractal formalism
- A typical measure typically has no local dimension
- Dimension of invariant sets for mappings with the squeezing property
- On Hausdorff dimension of invariant measures arising from non-contractive iterated function systems
- Szpilrajn type theorem for concentration dimension
- Stable and chaotic solutions of a first order partial differential equation
- Upper Estimate of Concentration and Thin Dimensions of Measures
- A Szpilrajn–Marczewski Type Theorem for Concentration Dimension on Polish Space
- Dimension, entropy and Lyapunov exponents
- Two definitions of fractional dimension
- A relationship between packing and topological dimensions
- A Variational Principle for the Hausdorff Dimension of Fractal Sets.
- Correlation dimension for iterated function systems
- Are the dimensions of a set and its image equal under typical smooth functions?
- Capacity of invariant measures related to Poisson-driven stochastic differential equations
- Estimates of capacity of self-similar measures
- Strong and weak duality principles for fractal dimension in Euclidean space
- On the typical structure of compact sets
- A lower estimation of the Hausdorff dimension for attractors with overlaps
This page was built for publication: Some New Concepts of Dimension
