Application of waist inequality to entropy and mean dimension
From MaRDI portal
Publication:6051571
DOI10.1090/tran/9002zbMath1530.37039arXiv2211.10158MaRDI QIDQ6051571
Publication date: 20 October 2023
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.10158
dynamical systemmean dimensionmetric mean dimensionwaist inequalitytopological conditional entropyconditional metric mean dimension
Continuous maps (54C05) Entropy in general topology (54C70) Dimension theory in general topology (54F45) Topological entropy (37B40) Dimension theory of smooth dynamical systems (37C45)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convex geometry and waist inequalities
- Asymptotic formulas for the diameter of sections of symmetric convex bodies
- On the distortion of knots on embedded surfaces
- Singularities, expanders and topology of maps. II: From combinatorics to topology via algebraic isoperimetry
- Singularities, expanders and topology of maps. I: Homology versus volume in the spaces of cycles
- Filling Riemannian manifolds
- Isoperimetry of waists and concentration of maps
- Mean dimension, small entropy factors and an embedding theorem
- Eldan's stochastic localization and tubular neighborhoods of complex-analytic sets
- Generalizations of the Kolmogorov-Barzdin embedding estimates
- Mean topological dimension
- Topological invariants of dynamical systems and spaces of holomorphic maps. I.
- Application of signal analysis to the embedding problem of \({\mathbb{Z}}^k\)-actions
- Isoperimetry of waists and local versus global asymptotic convex geometries
- ON GROMOV'S WAIST OF THE SPHERE THEOREM
- Metric Mean Dimension and Analog Compression
- Moduli Space of Brody Curves, Energy and Mean Dimension
- A family of maps with many small fibers
- Entropy for Group Endomorphisms and Homogeneous Spaces
- Conditional mean dimension
This page was built for publication: Application of waist inequality to entropy and mean dimension