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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… 
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Related topics

Related topics

15 relations
Arnold's cat mapBernoulli schemeEquidistribution theoremErgodic Ramsey theory

Broader (1)

Information theory

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2012
2012
Global attractor and Kolmogorov entropy of three component reversible Gray-Scott model on infinite lattices
2009
2009
Generalization Bounds for Learning the Kernel Problem
In this paper we develop a novel probabilistic generalization bound for learning the kernel problem. First, we show that the… 
2006
2006
An Entropy-Based Stability QoS Routing with Priority Scheduler in MANET Using Fuzzy Controllers
Due to the dynamic nature of the network topology and restricted resources, quality of service (QoS) and stability routing in… 
2006
2006
Applications of empirical processes in learning theory: algorithmic stability and generalization bounds
This thesis studies two key properties of learning algorithms: their generalization ability and their stability with respect to… 
2004
2004
Birth of an elliptic island in a chaotic sea
I consider a one parameter family of area preserving smooth maps that cross a non-uniformly hyperbolic situation into an… 
Highly Cited
2001
Highly Cited
2001
Rational Hedging and Valuation with Utility-Based Preferences
In this thesis, we study stochastic optimization problems in which concave functionals are maximized on spaces of stochastic… 
2001
2001
Stochastic Analysis of Gas-Liquid-Solid Flow in Three-Phase Circulating Fluidized Beds
Characteristics of gas-liquid-solid flow behavior in a riser are investigated in a three-phase circulating fluidized bed (0.102 m… 
1996
1996
Maximal Effective Diffusivity for Time-Periodic Incompressible Fluid Flows
In this paper we establish conditions for the maximal, $Pe^2 $, behavior of the effective diffusivity in time-periodic… 
1991
1991
Some Theory of Statistical Inference for Nonlinear Science: Expanded Version
This article shows how standard errors can be estimated for a measure of the number of excited degrees of freedom (the… 
1987
1987
Robotic manipulators and the geometry of real semialgebraic sets
Some modern techniques are applied from real semialgebraic geometry to the robotic manipulator problem. In particular, using the… 
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