Measure-preserving dynamical system

Known as: Metric entropy, Kolmogorov–Sinai entropy, Area-preserving map 
In mathematics, a measure-preserving dynamical system is an object of study in the abstract formulation of dynamical systems, and ergodic theory in… (More)
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Related topics

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15 relations
Arnold's cat mapBernoulli schemeEquidistribution theoremErgodic Ramsey theory
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Information theory

Papers overview

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2014
2014
MEASURE-PRESERVING DYNAMICAL SYSTEMS AND APPROXIMATION TECHNIQUES
In this paper, we demonstrate how approximation structures called sufficient semirings can provide information about measure… (More)
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Highly Cited
2011
Highly Cited
2011
Minimax Rates of Estimation for High-Dimensional Linear Regression Over $\ell_q$ -Balls
Consider the high-dimensional linear regression model <i>y</i> = <i>X</i> β<sup>*</sup> + <i>w</i>, where <i>y</i> ∈ \BBR<i>n</i… (More)
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2005
2005
Infinite Measure Preserving Transformations with Compact Regeneration
  • Erwin Schrödinger International, Roland Zweimüller
  • 2005
We study ergodic infinite measure preserving transformations T possessing reference sets of finite measure for which the set of… (More)
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Highly Cited
2004
Highly Cited
2004
On the Equivalence of Soft Wavelet Shrinkage, Total Variation Diffusion, Total Variation Regularization, and SIDEs
Soft wavelet shrinkage, total variation (TV) diffusion, TV regularization, and a dynamical system called SIDEs are four useful… (More)
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Highly Cited
2004
Highly Cited
2004
Random Number Generators
The author discusses some promising new random number generators, as well as formulates the mathematical basis that makes them… (More)
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Highly Cited
1997
Highly Cited
1997
DYNAMICAL SYSTEMS OF ALGEBRAIC ORIGIN (Progress in Mathematics) By Klaus Schmidt: 328 pp., DM.138., ISBN 3 7643 5174 8 (Birkhuser, 1995)
  • 1997
Ergodic theory studies group actions given by representations T :G!MPT(X ), where MPT(X ) is the group of invertible measure… (More)
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Highly Cited
1995
Highly Cited
1995
Information-Theoretic Determination of Minimax Rates of Convergence
We present some general results determining minimax bounds on statistical risk for density estimation based on certain… (More)
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Highly Cited
1991
Highly Cited
1991
Approximation and Estimation Bounds for Artificial Neural Networks
For a common class of artificial neural networks, the mean integrated squared error between the estimated network and a target… (More)
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Highly Cited
1988
Highly Cited
1988
Constraints methods for flexible models
Simulating flexible models can create aesthetic motion for computer animation. Animators can control these motions through the… (More)
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Highly Cited
1987
Highly Cited
1987
Equations of Motion from a Data Series
Temporal pattern learn ing, control and predict ion , and chaotic data an alysis sha re a common pr oblem : ded ucing optimal… (More)
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