Birkhoff's ergodic theorem and the piecewise-constant maximum entropy method for Frobenius–Perron operators
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Publication:4903535
DOI10.1080/00207160.2012.680446zbMath1263.41012OpenAlexW1969470123MaRDI QIDQ4903535
Publication date: 22 January 2013
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2012.680446
Numerical computation using splines (65D07) Numerical solutions to equations with linear operators (65J10) Approximation by operators (in particular, by integral operators) (41A35)
Related Items (7)
Unnamed Item ⋮ A linear spline maximum entropy method for Frobenius-Perron operators of multi-dimensional transformations ⋮ Piecewise convex deterministic dynamical systems and weakly convex random dynamical systems and their invariant measures ⋮ Approximating solutions of Fredholm integral equations via a general spline maximum entropy method ⋮ A maximum entropy method based on piecewise linear functions for the recovery of a stationary density of interval mappings ⋮ On Polynomial Maximum Entropy Method for Classical Moment Problem ⋮ A piecewise quadratic maximum entropy method for the statistical study of chaos
Cites Work
- Unnamed Item
- Finite approximation for the Frobenius-Perron operator. A solution to Ulam's conjecture
- A maximum entropy method for solving Frobenius-Perron operator equations
- Chaos, fractals, and noise: Stochastic aspects of dynamics.
- Synthesizing chaotic maps with prescribed invariant densities
- Lyapunov exponents and the natural invariant density determination of chaotic maps: an iterative maximum entropy ansatz
- On the Convergence of Moment Problems
- Maximum entropy approximation for Lyapunov exponents of chaotic maps
- Statistical Properties of Deterministic Systems
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