Homogenisation on homogeneous spaces
From MaRDI portal
Publication:1651440
DOI10.2969/jmsj/07027546zbMath1416.58014arXiv1505.06772OpenAlexW2586483162MaRDI QIDQ1651440
Publication date: 12 July 2018
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.06772
rate of convergencediffusion processhomogeneous spaceWasserstein distancehorizontal liftstochastic averaginghomogenisationEhresmann connection
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65)
Related Items
Real representations of \(C_2\)-graded groups: the antilinear theory ⋮ Multirevolution Integrators for Differential Equations with Fast Stochastic Oscillations ⋮ Large Steklov eigenvalues via homogenisation on manifolds ⋮ Higher order derivatives of heat semigroups on spheres and Riemannian symmetric spaces ⋮ Rough homogenisation with fractional dynamics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Random perturbation to the geodesic equation
- An averaging principle for diffusions in foliated spaces
- Limits of random differential equations on manifolds
- Averaging along foliated Lévy diffusions
- On the transitivity of holonomy systems
- Hamiltonian reduction by stages
- The adiabatic limit, Hodge cohomology and Leray's spectral sequence for a fibration
- The hypoelliptic Laplacian on a compact Lie group
- Collapsing of Riemannian manifolds and eigenvalues of Laplace operator
- Collapsing Riemannian manifolds while keeping their curvature bounded. I
- Laplacians and Riemannian submersions with totally geodesic fibres
- Twistor theory for Riemannian symmetric spaces. With applications to harmonic maps of Riemann surfaces
- Curvatures of left invariant metrics on Lie groups
- The first eigenvalue of the Laplacian on spheres
- Diffusion processes on graphs and the averaging principle
- Spectral convergence of Riemannian manifolds
- Geometry of weakly symmetric spaces
- A probabilistic scheme for collapse of metrics
- Transformation groups in differential geometry.
- Fast oscillating random perturbations of dynamical systems with conservation laws
- Isotropy irreducible spaces and \(s\)-representations
- On the geometry of diffusion operators and stochastic flows
- Homogeneous space-valued semi-martingales
- The hypoelliptic Laplacian and analytic torsion.
- Hypoelliptic second order differential equations
- The geometry and structure of isotropy irreducible homogeneous spaces
- The group of isometries of a Riemannian manifold
- Transformation groups of spheres
- Stability of rigid body motion using the energy-Casimir method
- Hypoelliptic Laplacian and Orbital Integrals (AM-177)
- Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
- On Subgroups of the Orthogonal Group
- On Real Irreducible Representations of Lie Algebras
- Average under the Iwasawa transformation
- REDUCTION, RECONSTRUCTION, AND SKEW-PRODUCT DECOMPOSITION OF SYMMETRIC STOCHASTIC DIFFERENTIAL EQUATIONS
- The Geometry of Filtering
- On stochastic horizontal lifts
- An averaging principle for a completely integrable stochastic Hamiltonian system
- A General Theorem on the Convergence of Operator Semigroups
- A limit theorem with strong mixing in banach space and two applications to stochastic differential equations
- ON STOCHASTICITY OF SOLUTIONS OF DIFFERENTIAL EQUATIONS WITH A SMALL DELAY
- Invariant Affine Connections on Homogeneous Spaces
- Brownian motion in a field of force and the diffusion model of chemical reactions