The projection method for computing multidimensional absolutely continuous invariant measures
From MaRDI portal
Publication:1906445
DOI10.1007/BF02179467zbMath0972.28501MaRDI QIDQ1906445
Publication date: 5 November 2001
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Measure-preserving transformations (28D05) Linear operators on function spaces (general) (47B38) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40)
Related Items (16)
Identifying stochastic basin hopping by partitioning with graph modularity ⋮ Approximating physical invariant measures of mixing dynamical systems in higher dimensions ⋮ Statistical properties of dynamical systems -- Simulation and abstract computation ⋮ Finite approximations of Frobenius-Perron operators. A solution of Ulam's conjecture to multi-dimensional transformations ⋮ Optimized statistical analysis of software trustworthiness attributes ⋮ A linear spline maximum entropy method for Frobenius-Perron operators of multi-dimensional transformations ⋮ Recursive divergence formulas for perturbing unstable transfer operators and physical measures ⋮ Backpropagation in hyperbolic chaos via adjoint shadowing ⋮ The infinitesimal operator for the semigroup of the Frobenius-Perron operator from image sequence data: Vector fields and transport barriers from movies ⋮ The projection method for a class of Frobenius-Perron operators ⋮ CONTROLLING CHAOS AND THE INVERSE FROBENIUS–PERRON PROBLEM: GLOBAL STABILIZATION OF ARBITRARY INVARIANT MEASURES ⋮ Rigorous computation of invariant measures and fractal dimension for maps with contracting fibers: 2D Lorenz-like maps ⋮ A finite element method for the Frobenius-Perron operator equation ⋮ A maximum entropy method for solving Frobenius-Perron operator equations ⋮ A manifold independent approach to understanding transport in stochastic dynamical systems ⋮ Finite approximations of Markov operators
Cites Work
- Unnamed Item
- Unnamed Item
- Absolutely continuous invariant measures for piecewise expanding \(C^ 2\) transformations in \(\mathbb R^N\)
- Projection solutions of Frobenius-Perron operator equations
- Approximating measures invariant under higher-dimensional chaotic transformations
- On the approximation of invariant measures
- High order approximation of the Frobenius-Perron operator
- Finite approximation for the Frobenius-Perron operator. A solution to Ulam's conjecture
- The spectral analysis of Frobenius-Perron operators
- Finite Element Methods for Navier-Stokes Equations
- Probabilistic Properties of Deterministic Systems
- Markov finite approximation of Frobenius-Perron operator
- Error estimates of the Markov finite approximation of the Frobenius-Perron operator
- On the Existence of Invariant Measures for Piecewise Monotonic Transformations
- Piecewise linear markov approximations of frobenius-perron operators associated with multi-dimensional transformations
This page was built for publication: The projection method for computing multidimensional absolutely continuous invariant measures
