A condition for the equivalence of coupling and shift coupling.
From MaRDI portal
Publication:1872163
DOI10.1214/aop/1019160502zbMath1044.60066OpenAlexW1590708438MaRDI QIDQ1872163
Feng-Yu Wang, Michael Craig Cranston
Publication date: 6 May 2003
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1019160502
Continuous-time Markov processes on general state spaces (60J25) Diffusion processes (60J60) Probabilistic potential theory (60J45)
Related Items (15)
Derivative formulas and Poincaré inequality for Kohn-Laplacian type semigroups ⋮ Self-normalization: taming a wild population in a heavy-tailed world ⋮ Successful couplings for a class of stochastic differential equations driven by Lévy processes ⋮ Return level bounds for discrete and continuous random variables ⋮ On the coupling property of Lévy processes ⋮ On the coupling property and the Liouville theorem for Ornstein-Uhlenbeck processes ⋮ Decompositions of Diffusion Operators and Related Couplings ⋮ Coupling for Ornstein-Uhlenbeck processes with jumps ⋮ Liouville theorem and coupling on negatively curved Riemannian manifolds. ⋮ Two-Term Edgeworth Expansions for the Classes of U- and V-statistics ⋮ Asymptotic coupling and a general form of Harris' theorem with applications to stochastic delay equations ⋮ Coupling, convergence rates of Markov processes and weak Poincaré inequalities ⋮ Berry–Esseen Bound for a Class of NormalizedL-Statistics ⋮ On the Poisson boundary of the relativistic Brownian motion ⋮ Asymptotic distributions of non-central Studentized statistics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Coupling of multidimensional diffusions by reflection
- Coupling of Markov chains by randomized stopping times. I: Couplings, harmonic functions and the Poisson equation
- On the parabolic kernel of the Schrödinger operator
- Gradient estimates on manifolds using coupling
- Shift-coupling
- Application of coupling methods to the Neumann eigenvalue problem
- Shift-coupling in continuous time
- Formulae for the derivatives of heat semigroups
- On estimation of the logarithmic Sobolev constant and gradient estimates of heat semigroups
- General formula for lower bound of the first eigenvalue on Riemannian manifolds
- Logarithmic Sobolev inequalities on noncompact Riemannian manifolds
- Harnack inequality for non-self-adjoint evolution equations
- Parabolic Harnack inequality for divergence form second order differential operators
- Isometric Riemannian manifolds at infinity
- Coupling and harmonic functions in the case of continuous time Markov processes
- Nonnegative ricci curvature and the brownian coupling property
- Gaussian Estimates for the Heat Kernel of the Weighted Laplacian and Fractal Measures
- On Harnack estimates for positive solutions of the heat equation on a complete manifold
- On the differentiation of heat semigroups and poisson integrals
- Gradient estimates and heat kernel estimates
This page was built for publication: A condition for the equivalence of coupling and shift coupling.
