Gradient bounds for Kolmogorov type diffusions
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Publication:2179252
DOI10.1214/19-AIHP975zbMath1454.60121arXiv1803.01436OpenAlexW3005426349MaRDI QIDQ2179252
Phanuel Mariano, Maria Gordina, Fabrice Baudoin
Publication date: 12 May 2020
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.01436
Diffusion processes (60J60) Probabilistic potential theory (60J45) Diffusion processes and stochastic analysis on manifolds (58J65) Hypoelliptic equations (35H10)
Related Items
Quasi-invariance for infinite-dimensional Kolmogorov diffusions, Density estimates and short-time asymptotics for a hypoelliptic diffusion process
Cites Work
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- Derivative formulas and Poincaré inequality for Kohn-Laplacian type semigroups
- Sub-Laplacians on sub-Riemannian manifolds
- Curvature-dimension inequalities and Ricci lower bounds for sub-Riemannian manifolds with transverse symmetries
- Log-Sobolev inequalities for subelliptic operators satisfying a generalized curvature dimension inequality
- Large deviations and the Malliavin calculus
- Kinetic Brownian motion on Riemannian manifolds
- Shy and fixed-distance couplings of Brownian motions on manifolds
- On gradient bounds for the heat kernel on the Heisenberg group
- Duality on gradient estimates and Wasserstein controls
- The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups
- Gradient estimates for the subelliptic heat kernel on H-type groups
- On the parabolic kernel of the Schrödinger operator
- Gradient estimates on manifolds using coupling
- A matrix Harnack estimate for the heat equation
- On estimation of the logarithmic Sobolev constant and gradient estimates of heat semigroups
- Coupling in the Heisenberg group and its applications to gradient estimates
- Intrinsic coupling on Riemannian manifolds and polyhedra
- Hypoelliptic heat kernel inequalities on the Heisenberg group
- Couplings of Brownian motions of deterministic distance in model spaces of constant curvature
- Zufällige Bewegungen. (Zur Theorie der Brownschen Bewegung.)
- Couplings in \(L^p\) distance of two Brownian motions and their Lévy area
- Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry
- Bakry-Émery meet Villani
- An application of a functional inequality to quasi-invariance in infinite dimensions
- Hypocoercive estimates on foliations and velocity spherical Brownian motion
- Curvature dimension inequalities and subelliptic heat kernel gradient bounds on contact manifolds
- A sub-Riemannian curvature-dimension inequality, volume doubling property and the Poincaré inequality
- Poisson boundary of a relativistic diffusion
- Estimation optimale du gradient du semi-groupe de la chaleur sur le groupe de Heisenberg
- A note on Lorentz-invariant Markov processes
- Hypoelliptic second order differential equations
- Lorentz-invariant Markov processes in relativistic phase space
- A winding problem for a resonator driven by a white noise
- Small-time fluctuations for the bridge in a model class of hypoelliptic diffusions of weak Hörmander type
- Heat kernels for elliptic and sub-elliptic operators. Methods and techniques
- Poisson boundary of a relativistic diffusion in curved space-times: an example
- The Kolmogorov Operator and Classical Mechanics
- Analysis for Diffusion Processes on Riemannian Manifolds
- Quasi-invariance for heat kernel measures on sub-Riemannian infinite-dimensional Heisenberg groups
- Transport inequalities, gradient estimates, entropy and Ricci curvature
- Relativistic diffusions and Schwarzschild geometry
- Optimally Coupling the Kolmogorov Diffusion, and Related Optimal Control Problems
- Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling
- Analysis and Geometry of Markov Diffusion Operators
- Coupling the Kolmogorov diffusion: maximality and efficiency considerations
- A convergence to Brownian motion on sub-Riemannian manifolds
- Sub-Laplacians and hypoelliptic operators on totally geodesic Riemannian foliations
- Asymptotics of Some Relativistic Markov Processes