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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2014
2014
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
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
  • 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
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
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
  • 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
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
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
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
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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