Skip to search formSkip to main contentSkip to account menu

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… 
Wikipedia (opens in a new tab)

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
2010
2010
Nonconventional limit theorems
The polynomial ergodic theorem (PET) which appeared in Bergelson (Ergod. Th. Dynam. Sys. 7, 337–349, 1987) and attracted… 
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
On the zero-temperature or vanishing viscosity limit for certain Markov processes arising from Lagrangian dynamics
We study the zero-temperature limit for Gibbs measures associated to Frenkel-Kontoro- va models on(R d ) Z /Z d . We prove that… 
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… 
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… 
Highly Cited
1980
Highly Cited
1980
A QUALITATIVE STUDY OF THE STEADY-STATE SOLUTIONS FOR A CONTINUOUS FLOW STIRRED TANK CHEMICAL REACTOR*
An approach to the bifurcation of steady-state equilibria using singularity theory is applied to the problem of multiple… 
By clicking accept or continuing to use the site, you agree to the terms outlined in our Privacy Policy (opens in a new tab), Terms of Service (opens in a new tab), and Dataset License (opens in a new tab)