The radial part of Brownian motion on a manifold: A semimartingale property
From MaRDI portal
Publication:1104639
DOI10.1214/aop/1176991988zbMath0647.60086OpenAlexW2090041803MaRDI QIDQ1104639
Publication date: 1987
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176991988
Related Items (37)
A probabilistic approach to Martin boundaries for manifolds with ends ⋮ The radial part of Brownian motion. II: Its life and times on the cut locus ⋮ Gradient estimates of Dirichlet heat semigroups and application to isoperimetric inequalities. ⋮ Nonnegative ricci curvature and the brownian coupling property ⋮ Log-Sobolev inequalities: different roles of Ric and Hess ⋮ Stochastic differential geometry: An introduction ⋮ Compactness of Schrödinger semigroups with unbounded below potentials ⋮ Gradient estimates for positive harmonic functions by stochastic analysis ⋮ QUASI-REGULAR DIRICHLET FORMS ON FREE RIEMANNIAN PATH SPACES ⋮ On conservation of probability and the Feller property ⋮ Sharp explicit lower bounds of heat kernels ⋮ Radial processes on \(\mathsf{RCD}^\ast(K,N)\) spaces ⋮ New Laplacian comparison theorem and its applications to diffusion processes on Riemannian manifolds ⋮ Liouville theorem for \(V\)-harmonic maps under non-negative \((m, V)\)-Ricci curvature for non-positive \(m\) ⋮ On generalized Schrödinger semigroups ⋮ Radial processes for sub-Riemannian Brownian motions and applications ⋮ Existence of the spectral gap for elliptic operators ⋮ Non-explosion of diffusion processes on manifolds with time-dependent metric ⋮ Entropy-cost inequalities for diffusion semigroups with curvature unbounded below ⋮ Brownian motion and Dirichlet problems at infinity ⋮ Quasi-regular Dirichlet forms on Riemannian path and loop spaces ⋮ The radial part of Brownian motion with respect to \(\mathcal L\)-distance under Ricci flow ⋮ Exit probability estimates for martingales in geodesic balls, using curvature ⋮ Liouville theorem and coupling on negatively curved Riemannian manifolds. ⋮ Harnack inequality and heat kernel estimates on manifolds with curvature unbounded below ⋮ Volume growth and escape rate of Brownian motion on a complete Riemannian manifold ⋮ Gradient estimates and Harnack inequalities on non-compact Riemannian manifolds ⋮ Estimates of Dirichlet heat kernels ⋮ Gradient estimates for harmonic functions on regular domains in Riemannian manifolds ⋮ Wasserstein convergence rate for empirical measures on noncompact manifolds ⋮ Identifying constant curvature manifolds, Einstein manifolds, and Ricci parallel manifolds ⋮ Gradient estimates and the first Neumann eigenvalue on manifolds with boundary ⋮ Quasi-invariance of the Wiener measure on path spaces: Noncompact case ⋮ Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds ⋮ Hitting estimates on Einstein manifolds and applications ⋮ Skew-product decompositions of Brownian motions on manifolds: A probabilistic aspect of the Lichnerowicz--Szabo theorem ⋮ Bridge simulation and metric estimation on Lie groups
This page was built for publication: The radial part of Brownian motion on a manifold: A semimartingale property
