Invariant measures and asymptotic Gaussian bounds for normal forms of stochastic climate model
DOI10.1007/s11401-011-0647-2zbMath1304.86003OpenAlexW2006668139MaRDI QIDQ741422
Publication date: 12 September 2014
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11401-011-0647-2
Fokker-Planck equationcomparison principleinvariant measureglobal estimates of probability density functionreduced stochastic climate model
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Meteorology and atmospheric physics (86A10) Distribution theory (60E99) PDEs in connection with geophysics (35Q86) Fokker-Planck equations (35Q84)
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Cites Work
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- Linear response theory for statistical ensembles in complex systems with time-periodic forcing
- Elliptic equations for measures: regularity and global bounds of densities
- Global properties of invariant measures
- Hypoelliptic second order differential equations
- ON REGULARITY OF TRANSITION PROBABILITIES AND INVARIANT MEASURES OF SINGULAR DIFFUSIONS UNDER MINIMAL CONDITIONS
- Normal forms for reduced stochastic climate models
- High skill in low-frequency climate response through fluctuation dissipation theorems despite structural instability
- REGULARITY THEOREMS FOR SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS
- Ergodic Properties of Recurrent Diffusion Processes and Stabilization of the Solution to the Cauchy Problem for Parabolic Equations
- Sharp upper bounds for the density of some invariant measures
- Models for stochastic climate prediction
- A mathematical framework for stochastic climate models
- Distinct metastable atmospheric regimes despite nearly Gaussian statistics: A paradigm model
- An applied mathematics perspective on stochastic modelling for climate
- Information Theory and Stochastics for Multiscale Nonlinear Systems
- Asymptotic Properties of Markoff Transition Probabilities
- Second order PDE's in finite and infinite dimension
- Elliptic operators on \(\mathbb{R}^d\) with unbounded coefficients