Pseudogenerators of Spatial Transfer Operators

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

zbMATH Keywords

metastabilityinfinitesimal generatormolecular dynamicstransfer operatorspectral collocation

Mathematics Subject Classification ID

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)

Related Items (8)

On the numerical approximation of the Perron-Frobenius and Koopman operator ⋮ Modern Koopman Theory for Dynamical Systems ⋮ Optimal Reaction Coordinates: Variational Characterization and Sparse Computation ⋮ Transition manifolds of complex metastable systems. Theory and data-driven computation of effective dynamics ⋮ Diffusion maps tailored to arbitrary non-degenerate Itô processes ⋮ Dynamic mode decomposition for continuous time systems with the Liouville operator ⋮ Ruelle-Pollicott resonances of stochastic systems in reduced state space. Part I: Theory ⋮ Ruelle-Pollicott resonances of stochastic systems in reduced state space. Part III: Application to the Cane-Zebiak model of the El Niño-southern oscillation

Uses Software

• Matlab
• GAIO

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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