Path-Based Divergence Rates and Lagrangian Uncertainty in Stochastic Flows
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Publication:5887855
DOI10.1137/21M1466530OpenAlexW4321614281MaRDI QIDQ5887855
Publication date: 14 April 2023
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/21m1466530
dynamical systemsstochastic flowsinformation inequalitiesinformation divergencesdivergence ratesLagrangian uncertainty
Inference from stochastic processes and prediction (62M20) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10) Prediction theory (aspects of stochastic processes) (60G25) Nonautonomous smooth dynamical systems (37C60)
Cites Work
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- Large deviations in fast-slow systems
- Existence and uniqueness of solutions for Fokker-Planck equations on Hilbert spaces
- Computing coherent sets using the Fokker-Planck equation
- Pathwise solutions of the 2-D stochastic primitive equations
- Strong convergence of principle of averaging for multiscale stochastic dynamical systems
- A Lagrangian description of transport associated with a front-eddy interaction: application to data from the North-Western Mediterranean Sea
- A variational theory of hyperbolic Lagrangian coherent structures
- Stirring: the Eckart paradigm revisited
- The heterogeneous multiscale methods
- Almost-invariant sets and invariant manifolds - connecting probabilistic and geometric descriptions of coherent structures in flows
- Axiomatic characterizations of information measures
- Information geometry and its applications
- The Lyapunov exponents of regular systems under small on the average perturbations
- Quasi-invariance of Lebesgue measure under the homeomorphic flow generated by SDE with non-Lipschitz coefficient
- Lyapunov exponents and relative entropy for a stochastic flow of diffeomorphisms
- Ergodic theory of differentiable dynamical systems
- Why least squares and maximum entropy? An axiomatic approach to inference for linear inverse problems
- Chaotic transport in dynamical systems
- Normally hyperbolic invariant manifolds in dynamical systems
- A subdivision algorithm for the computation of unstable manifolds and global attractors
- Computation of stable and unstable manifolds of hyperbolic trajectories in two-dimensional, aperiodically time-dependent vector fields
- On diffusion in high-dimensional Hamiltonian systems and PDE
- Efficient statistically accurate algorithms for the Fokker-Planck equation in large dimensions
- Finite-time entropy: a probabilistic approach for measuring nonlinear stretching
- Parametric statistical models and likelihood
- Extremal exponents of random dynamical systems do not vanish
- Geodesic theory of transport barriers in two-dimensional flows
- Stochastic approaches to Lagrangian coherent structures
- Uncertainty in finite-time Lyapunov exponent computations
- A proposal on machine learning via dynamical systems
- Existence and uniqueness of martingale solutions for SDEs with rough or degenerate coefficients
- A class of measures of informativity of observation channels
- Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
- An Eulerian-Lagrangian approach for incompressible fluids: Local theory
- Addressing model error through atmospheric stochastic physical parametrizations: impact on the coupled ECMWF seasonal forecasting system
- Lagrangian Descriptors for Stochastic Differential Equations: A Tool for Revealing the Phase Portrait of Stochastic Dynamical Systems
- The heterogeneous multiscale method
- Flows of stochastic dynamical systems: ergodic theory
- THE DYNAMICAL SYSTEMS APPROACH TO LAGRANGIAN TRANSPORT IN OCEANIC FLOWS
- STOCHASTIC SOLUTIONS OF THE TWO-DIMENSIONAL PRIMITIVE EQUATIONS OF THE OCEAN AND ATMOSPHERE WITH AN ADDITIVE NOISE
- Existence and Uniqueness of Solutions to Fokker–Planck Type Equations with Irregular Coefficients
- On Divergences and Informations in Statistics and Information Theory
- Stochastic subgrid-scale modelling for non-equilibrium geophysical flows
- Model Selection and Multimodel Inference
- Rigorous Analysis for Efficient Statistically Accurate Algorithms for Solving Fokker--Planck Equations in Large Dimensions
- A critical comparison of Lagrangian methods for coherent structure detection
- Existence and Computation of Hyperbolic Trajectories of Aperiodically Time Dependent Vector Fields and Their Approximations
- Material barriers to diffusive and stochastic transport
- $\alpha$-Divergence Is Unique, Belonging to Both $f$-Divergence and Bregman Divergence Classes
- Stochastic Sensitivity: A Computable Lagrangian Uncertainty Measure for Unsteady Flows
- Lagrangian Uncertainty Quantification and Information Inequalities for Stochastic Flows
- Barriers to the Transport of Diffusive Scalars in Compressible Flows
- Multiscale Methods
- Elements of Information Theory
- Minimum Variance Estimation Without Regularity Assumptions
- A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations
- Distinguished material surfaces and coherent structures in three-dimensional fluid flows
- An Eulerian-Lagrangian approach to the Navier-Stokes equations
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