Linear and nonlinear statistical response theories with prototype applications to sensitivity analysis and statistical control of complex turbulent dynamical systems
DOI10.1063/1.5118690zbMath1433.62337OpenAlexW2982234082WikidataQ91057958 ScholiaQ91057958MaRDI QIDQ4973009
Publication date: 29 November 2019
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.5118690
Factor analysis and principal components; correspondence analysis (62H25) Applications of statistics to environmental and related topics (62P12) Application models in control theory (93C95) Statistical aspects of big data and data science (62R07)
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Cites Work
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- An introduction to turbulent dynamical systems in complex systems
- Predicting fat-tailed intermittent probability distributions in passive scalar turbulence with imperfect models through empirical information theory
- Ergodicity of truncated stochastic Navier Stokes with deterministic forcing and dispersion
- A statistically accurate modified quasilinear Gaussian closure for uncertainty quantification in turbulent dynamical systems
- Lessons in uncertainty quantification for turbulent dynamical systems
- Linear response theory for statistical ensembles in complex systems with time-periodic forcing
- Dynamic mean flow and small-scale interaction through topographic stress
- Rigorous statistical bounds in uncertainty quantification for one-layer turbulent geophysical flows
- Low-dimensional reduced-order models for statistical response and uncertainty quantification: barotropic turbulence with topography
- Algorithm for overcoming the curse of dimensionality for time-dependent non-convex Hamilton-Jacobi equations arising from optimal control and differential games problems
- Predicting extreme events for passive scalar turbulence in two-layer baroclinic flows through reduced-order stochastic models
- A test model for fluctuation-dissipation theorems with time-periodic statistics
- On the validity of linear response theory in high-dimensional deterministic dynamical systems
- Using statistical functionals for effective control of inhomogeneous complex turbulent dynamical systems
- On spurious detection of linear response and misuse of the fluctuation-dissipation theorem in finite time series
- Weighing the Odds
- Probabilistic Description of Extreme Events in Intermittently Unstable Dynamical Systems Excited by Correlated Stochastic Processes
- Normal forms for reduced stochastic climate models
- High skill in low-frequency climate response through fluctuation dissipation theorems despite structural instability
- Information Theory and Statistical Mechanics
- Tracer transport along and across coherent jets in two-dimensional turbulent flow
- Intermittency in turbulent diffusion models with a mean gradient
- Elementary models with probability distribution function intermittency for passive scalars with a mean gradient
- A simple framework to justify linear response theory
- Nonlinear stability and statistical mechanics of flow over topography
- Fluctuation-response relations in systems with chaotic behavior
- Simple examples with features of renormalization for turbulent transport
- Data-Driven Computational Methods
- Strategies for Reduced-Order Models for Predicting the Statistical Responses and Uncertainty Quantification in Complex Turbulent Dynamical Systems
- Atmospheric and Oceanic Fluid Dynamics
- Simple nonlinear models with rigorous extreme events and heavy tails
- Effective control of complex turbulent dynamical systems through statistical functionals
- Beating the curse of dimension with accurate statistics for the Fokker–Planck equation in complex turbulent systems
- Non-Gaussian invariant measures for the Majda model of decaying turbulent transport
- Improving model fidelity and sensitivity for complex systems through empirical information theory
- Link between statistical equilibrium fidelity and forecasting skill for complex systems with model error
- Attractor local dimensionality, nonlinear energy transfers and finite-time instabilities in unstable dynamical systems with applications to two-dimensional fluid flows
- Blended response algorithms for linear fluctuation-dissipation for complex nonlinear dynamical systems
- Quantifying predictability in a model with statistical features of the atmosphere
- Information Theory and Stochastics for Multiscale Nonlinear Systems
- On Information and Sufficiency
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
- Improving prediction skill of imperfect turbulent models through statistical response and information theory
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