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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… Expand
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Related topics

Related topics

15 relations
Arnold's cat mapBernoulli schemeEquidistribution theoremErgodic Ramsey theory
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Broader (1)

Information theory

Papers overview

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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… Expand
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Highly Cited
2007
Highly Cited
2007
Weakly compressible SPH for free surface flows
We present a weakly compressible form of the Smoothed Particle Hydrodynamics method (SPH) for fluid flow based on the Tait… Expand
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Highly Cited
2001
Highly Cited
2001
Combinatorial methods in density estimation
1. Introduction.- 1.1. References.- 2. Concentration Inequalities.- 2.1. Hoeffding's Inequality.- 2.2. An Inequality for the… Expand
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Highly Cited
1998
Highly Cited
1998
EULER-POINCARE MODELS OF IDEAL FLUIDS WITH NONLINEAR DISPERSION
We propose a new class of models for the mean motion of ideal incompressible fluids in three dimensions, including stratification… Expand
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Highly Cited
1995
Highly Cited
1995
Existence and uniqueness of monotone measure-preserving maps
Introduction. Given a pair of Borel probability measures # and v on Rd, it is natural to ask whether v can be obtained from # by… Expand
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Highly Cited
1991
Highly Cited
1991
Polar factorization and monotone rearrangement of vector-valued functions
Given a probability space (X, p) and a bounded domain R in Rd equipped with the Lebesgue measure 1 . I (normalized so that 10 I… Expand
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Highly Cited
1989
Highly Cited
1989
Knots are determined by their complements
This answers a question apparently first raised by Tietze [T, p. 83]. It was previously known that there were at most two knots… Expand
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Highly Cited
1985
Highly Cited
1985
Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
This paper focuses on the treatment of volume constraints which in the context of elasto-plasticity typically arise as a result… Expand
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Highly Cited
1983
Highly Cited
1983
Estimation of the Kolmogorov entropy from a chaotic signal
While there has been recently a dramatic growth in new mathematical concepts related to chaotic systems, ' the detailed… Expand
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Highly Cited
1971
Highly Cited
1971
Entropy for group endomorphisms and homogeneous spaces
Topological entropy há(T) is defined for a uniformly continuous map on a metric space. General statements are proved about this… Expand
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