Long-time behaviour of degenerate diffusions: UFG-type SDEs and time-inhomogeneous hypoelliptic processes
DOI10.1214/20-EJP577zbMath1469.35031arXiv1805.01350OpenAlexW3159161388MaRDI QIDQ2042872
Thomas Cass, Michela Ottobre, Paul W. Dobson, Dan Crisan
Publication date: 21 July 2021
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.01350
stochastic control theoryHörmander conditiondiffusion semigroupsUFG conditiondistributions with non-constant ranknon-ergodic SDEsprocesses with multiple invariant measures
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) Stochastic systems in control theory (general) (93E03) Diffusion processes and stochastic analysis on manifolds (58J65) Generation, random and stochastic difference and differential equations (37H10) Second-order parabolic equations (35K10) Existence of optimal solutions to problems involving randomness (49J55)
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Cites Work
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- Markov semigroups with hypocoercive-type generator in infinite dimensions: ergodicity and smoothing
- Variance reduction using nonreversible Langevin samplers
- Markov chain Monte Carlo and irreversibility
- On Malliavin's proof of Hörmander's theorem
- Cubature on Wiener space for McKean-Vlasov SDEs with smooth scalar interaction
- Ergodicity of Markov semigroups with Hörmander type generators in infinite dimensions
- Short and long time behavior of the Fokker-Planck equation in a confining potential and applications
- How hot can a heat bath get?
- Malliavin calculus with time dependent coefficients and application to nonlinear filtering
- Spectral properties of hypoelliptic operators
- Sharp derivative bounds for solutions of degenerate semi-linear partial differential equations
- Hypoelliptic non-homogeneous diffusions
- Kusuoka-Stroock gradient bounds for the solution of the filtering equation
- Diffusion limit for the random walk Metropolis algorithm out of stationarity
- Variance reduction for irreversible Langevin samplers and diffusion on graphs
- Hypoelliptic second order differential equations
- Cubature Methods and Applications
- Irreversible Langevin samplers and variance reduction: a large deviations approach
- Asymptotic analysis for the generalized Langevin equation
- Cubature on Wiener space
- Nonautonomous Kolmogorov parabolic equations with unbounded coefficients
- Ergodicity for a stochastic geodesic equation in the tangent bundle of the 2D sphere
- Weak Approximation of Stochastic Differential Equations and Application to Derivative Pricing
- Stratified Lie Groups and Potential Theory for their Sub-Laplacians
- Asymptotic behavior and hypercontractivity in non-autonomous Ornstein-Uhlenbeck equations
- Hypocoercivity
- [https://portal.mardi4nfdi.de/wiki/Publication:3889862 Martingales, the Malliavin calculus and hypoellipticity under general H�rmander's conditions]
- Malliavin's stochastic calculus of variations for manifold-valued Wiener functionals and its applications
- Analysis and Geometry of Markov Diffusion Operators
- Orbits of Families of Vector Fields and Integrability of Distributions
- Ergodic Properties of Markov Processes
- Pointwise gradient bounds for degenerate semigroups (of UFG type)
- Contrôlabilité des Systèmes non Linéaires
- Hypercontractivity and Asymptotic Behavior in Nonautonomous Kolmogorov Equations
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