A probabilistic Takens theorem

DOI10.1088/1361-6544/ab8fb8zbMath1453.28002arXiv1811.05959OpenAlexW3104221668MaRDI QIDQ5130919

Krzysztof Barański, Yonatan Gutman, Adam Śpiewak

Publication date: 29 October 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.05959

zbMATH Keywords

Hausdorff dimensionbox-counting dimensionprobabilistic embeddingTakens delay embedding theorem

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78) Dimension theory of smooth dynamical systems (37C45)

Related Items (1)

On the Shroer-Sauer-Ott-Yorke predictability conjecture for time-delay embeddings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Noise reduction: Finding the simplest dynamical system consistent with the data
• Embedology
• Delay embeddings for forced systems. I: Deterministic forcing
• Hölder continuity for the inverse of Mañé's projection
• Constructing an elementary measure on a space of projections.
• Polynomial interpolation in several variables
• Lectures on dynamics, fractal geometry, and metric number theory
• Takens' embedding theorem with a continuous observable
• Hausdorff dimension, orthogonal projections and intersections with planes
• Are the dimensions of a set and its image equal under typical smooth functions?
• Takens embedding theorems for forced and stochastic systems
• Ergodic theory of chaos and strange attractors
• The embedding problem in topological dynamics and Takens’ theorem
• Regularity of embeddings of infinite-dimensional fractal sets into finite-dimensional spaces
• Lossless Analog Compression
• Periods of Periodic Solutions and the Lipschitz Constant
• On the extension of Lipschitz, Lipschitz-Hölder continuous, and monotone functions
• A topological delay embedding theorem for infinite-dimensional dynamical systems
• Synchronization of reconstructed dynamical systems
• Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions
• On an embedding theorem

This page was built for publication: A probabilistic Takens theorem