On some aspects of the response to stochastic and deterministic forcings
DOI10.1088/1751-8121/ac90fdOpenAlexW4295132249MaRDI QIDQ5874166
Manuel Santos Gutiérrez, Valerio Lucarini
Publication date: 7 February 2023
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.08896
chaosstochastic differential equationsinvariant measurecorrelationsresponse theoryoperator semigroupsnonequilibrium statistical mechanics
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Random operators and equations (aspects of stochastic analysis) (60H25) Groups and semigroups of linear operators (47D03) Generation, random and stochastic difference and differential equations (37H10) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Stochastic integral equations (60H20) Infinite-dimensional random dynamical systems; stochastic equations (37L55)
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Cites Work
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- Response operators for Markov processes in a finite state space: radius of convergence and link to the response theory for axiom A systems
- Stochastic perturbations to dynamical systems: a response theory approach
- Predicting climate change using response theory: global averages and spatial patterns
- Ruelle-Pollicott resonances of stochastic systems in reduced state space. Part I: Theory
- Response and sensitivity using Markov chains
- Linear response, susceptibility and resonances in chaotic toy models
- Response theory for equilibrium and non-equilibrium statistical mechanics: Causality and generalized Kramers-Kronig relations
- Stochastic methods. A handbook for the natural and social sciences
- Evidence of dispersion relations for the nonlinear response of the Lorenz 63 system
- Resonances in a chaotic attractor crisis of the Lorenz flow
- Optimal linear responses for Markov chains and stochastically perturbed dynamical systems
- Revising and extending the linear response theory for statistical mechanical systems: evaluating observables as predictors and predictands
- General linear response formula in statistical mechanics, and the fluctuation-dissipation theorem far from equilibrium
- Exact response theory and Kuramoto dynamics
- Forward and adjoint sensitivity computation of chaotic dynamical systems
- A mathematical framework for critical transitions: bifurcations, fast-slow systems and stochastic dynamics
- Leading order response of statistical averages of a dynamical system to small stochastic perturbations
- Smooth Anosov flows: Correlation spectra and stability
- Spectral properties of dynamical systems, model reduction and decompositions
- On dynamic mode decomposition: theory and applications
- Hypoelliptic second order differential equations
- Applied Koopmanism
- Enhanced regime predictability in atmospheric low-order models due to stochastic forcing
- Tipping elements in the Earth's climate system
- Banach spaces adapted to Anosov systems
- Linear response despite critical points
- A simple framework to justify linear response theory
- A review of linear response theory for general differentiable dynamical systems
- Random perturbations of chaotic dynamical systems: stability of the spectrum
- One-Parameter Semigroups for Linear Evolution Equations
- Nonequilibrium statistical mechanics near equilibrium: computing higher-order terms
- Ergodic theory of chaos and strange attractors
- Crisis of the chaotic attractor of a climate model: a transfer operator approach
- The spectral gap and perturbation bounds for reversible continuous-time Markov chains
- Microreversibility, nonequilibrium current fluctuations, and response theory
- Linear response in neuronal networks: From neurons dynamics to collective response
- Reduced-order models for coupled dynamical systems: Data-driven methods and the Koopman operator
- A Trajectory-Driven Algorithm for Differentiating SRB Measures on Unstable Manifolds
- Linear response theory of turbulence
- An update on the nonequilibrium linear response
- Response theory and phase transitions for the thermodynamic limit of interacting identical systems
- Stochastic Processes and Applications
- On the fluctuation-dissipation relation in non-equilibrium and non-Hamiltonian systems
- Linear response for macroscopic observables in high-dimensional systems
- Response formulae forn-point correlations in statistical mechanical systems and application to a problem of coarse graining
- Noise-Induced Stabilization of Perturbed Hamiltonian Systems
- Blended response algorithms for linear fluctuation-dissipation for complex nonlinear dynamical systems
- Multiscale Methods
- On Stochastic Processes Defined by Differential Equations with a Small Parameter
- A Green’s function approach to the linear response of a driven dissipative optomechanical system
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