Pseudogenerators of Spatial Transfer Operators
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Publication:3192587
DOI10.1137/14099872XzbMath1322.82011arXiv1412.1733OpenAlexW2008881650MaRDI QIDQ3192587
Péter Koltai, Oliver Junge, Andreas Bittracher
Publication date: 13 October 2015
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.1733
Estimates of eigenvalues in context of PDEs (35P15) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Fokker-Planck equations (35Q84)
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Cites Work
- Fuzzy spectral clustering by PCCA+: application to Markov state models and data classification
- Semigroups of linear operators and applications to partial differential equations
- Time reversal of diffusions
- Chaos, fractals, and noise: Stochastic aspects of dynamics.
- Rates of convergence for everywhere-positive Markov chains
- Phase transitions and metastability in Markovian and molecular systems
- Identification of almost invariant aggregates in reversible nearly uncoupled Markov chains
- Robust Perron cluster analysis in conformation dynamics
- Applied functional analysis. Applications to mathematical physics. Vol. 1
- The law of the Euler scheme for stochastic differential equations. I: Convergence rate of the distribution function
- Towards a theory of transition paths
- Hypoelliptic second order differential equations
- Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise.
- Discretization of the Frobenius–Perron Operator Using a Sparse Haar Tensor Basis: The Sparse Ulam Method
- Mean Field Approximation in Conformation Dynamics
- On the Approximation of Complicated Dynamical Behavior
- Spectral Methods in MATLAB
- Estimating Long-Term Behavior of Flows without Trajectory Integration: The Infinitesimal Generator Approach
- Multiscale Methods
- Metastability and Dominant Eigenvalues of Transfer Operators
- Stochastic differential equations. An introduction with applications.
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