Book contents
- Frontmatter
- Contents
- Editor’s Note
- List of Contributors
- 1 Open Problems from 2020 Vision for Dynamics Conference in Będlewo
- 2 Rigidity of Topological Entropy of Boundary Maps Associated to Fuchsian Groups
- 3 Flexibility of Entropies for Piecewise Expanding Unimodal Maps
- 4 Recent Results and Open Questions on Pseudo-Rotations
- 5 SRB and Equilibrium Measures via Dimension Theory
- 6 Abelian Livshits Theorems and Geometric Applications
- 7 A Dynamical Approach to Validated Numerics
- 8 Non-stationary Normal Forms for Contracting Extensions
- 9 Survey on Entropy-Type Invariants of Subexponential Growth in Dynamical Systems
- 10 On the Smooth Realization Problem and the AbC Method
- 11 On Some Spectral Problems in Ergodic Theory
- 12 Area-Preserving Surface Diffeomorphisms with Polynomial Decay of Correlations Are Ubiquitous
- 13 Linear Cocycles over Hyperbolic Systems
7 - A Dynamical Approach to Validated Numerics
Published online by Cambridge University Press: 01 February 2024
- Frontmatter
- Contents
- Editor’s Note
- List of Contributors
- 1 Open Problems from 2020 Vision for Dynamics Conference in Będlewo
- 2 Rigidity of Topological Entropy of Boundary Maps Associated to Fuchsian Groups
- 3 Flexibility of Entropies for Piecewise Expanding Unimodal Maps
- 4 Recent Results and Open Questions on Pseudo-Rotations
- 5 SRB and Equilibrium Measures via Dimension Theory
- 6 Abelian Livshits Theorems and Geometric Applications
- 7 A Dynamical Approach to Validated Numerics
- 8 Non-stationary Normal Forms for Contracting Extensions
- 9 Survey on Entropy-Type Invariants of Subexponential Growth in Dynamical Systems
- 10 On the Smooth Realization Problem and the AbC Method
- 11 On Some Spectral Problems in Ergodic Theory
- 12 Area-Preserving Surface Diffeomorphisms with Polynomial Decay of Correlations Are Ubiquitous
- 13 Linear Cocycles over Hyperbolic Systems
Summary
- Type
- Chapter
- Information
- A Vision for Dynamics in the 21st CenturyThe Legacy of Anatole Katok, pp. 168 - 206Publisher: Cambridge University PressPrint publication year: 2024