On the approximation of invariant measures
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Publication:1203165
DOI10.1007/BF01060079zbMath0892.58048MaRDI QIDQ1203165
Fern Y. Hunt, Walter M. Miller
Publication date: 27 October 1993
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Related Items (21)
Decomposition theorems for koopman operators ⋮ Absolutely continuous invariant measure of a piecewise concave mapping of [0, 1] ⋮ Approximating physical invariant measures of mixing dynamical systems in higher dimensions ⋮ Unnamed Item ⋮ Frobenius-Perron operators and approximation of invariant measures for set-valued dynamical systems ⋮ The projection method for computing multidimensional absolutely continuous invariant measures ⋮ An application of deterministic chaotic maps to model packet traffic ⋮ Stability and approximation of invariant measures for a class of nonexpanding transformations ⋮ A matrix-based approach to solving the inverse Frobenius-Perron problem using sequences of density functions of stochastically perturbed dynamical systems ⋮ A piecewise constant method for Frobenius-Perron operators via delta function approximations ⋮ A convergence rate analysis for markov finite approximations to a class of Frobenius-Perron operators ⋮ The point spectrum of Frobenius-Perron and Koopman operators ⋮ Computing the invariant measure and the Lyapunov exponent for one-dimensional maps using a measure-preserving polynomial basis ⋮ High order approximation of the Frobenius-Perron operator ⋮ Approximation order analysis for the piecewise linear Markov method ⋮ Numerical results on some generalized random Fibonacci sequences ⋮ A stochastic approach to the construction of one-dimensional chaotic maps with prescribed statistical properties ⋮ On the spectrum of Frobenius-Perron operators ⋮ Computing invariant measures of piecewise convex transformations. ⋮ Finite approximations of Markov operators ⋮ Theory and examples of the inverse Frobenius–Perron problem for complete chaotic maps
Cites Work
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- Absolutely continuous invariant measures for piecewise expanding \(C^ 2\) transformations in \(\mathbb R^N\)
- Ergodic theorems. With a supplement by Antoine Brunel
- Ergodic properties of invariant measures for piecewise monotonic transformations
- Stochastic stability in some chaotic dynamical systems
- Finite approximation for the Frobenius-Perron operator. A solution to Ulam's conjecture
- Constructive approximations to densities invariant under nonexpanding transformations.
- Théorie ergodique pour des classes d'opérations non completement continues
- Bounded variation and invariant measures
- Probabilistic Properties of Deterministic Systems
- Markov finite approximation of Frobenius-Perron operator
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