Brownian motion and the distance to a submanifold

DOI10.1007/s11118-016-9553-2zbMath1353.58015arXiv1505.07445OpenAlexW2097615740WikidataQ59474171 ScholiaQ59474171MaRDI QIDQ334903

Mohammad Hasan, M. Dambrine

Publication date: 1 November 2016

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.07445

zbMATH Keywords

Brownian motiondistancesubmanifoldlocal timetube

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Local time and additive functionals (60J55) Methods of local Riemannian geometry (53B21)

Related Items (2)

Exponential integrability and exit times of diffusions on sub-Riemannian and metric measure spaces ⋮ Brownian bridges to submanifolds

Cites Work

• A logarithmic Sobolev form of the Li-Yau parabolic inequality
• Heat semigroup on a complete Riemannian manifold
• On the heat kernel of a complete Riemannian manifold
• The radial part of Brownian motion. II: Its life and times on the cut locus
• Logarithmic Sobolev inequalities and exponential integrability
• Itô correction terms for the radial parts of semimartingales on manifolds
• Hamilton-Jacobi equations and distance functions on Riemannian manifolds
• Radial part of Brownian motion on a Riemannian manifold
• Moment estimates derived from Poincaré and logarithmic Sobolev inequalities
• A general comparison theorem with applications to volume estimates for submanifolds
• A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
• Curvature, geodesics and the Brownian motion on a Riemannian manifold II—Explosion properties
• A Hausdorff measure classification of polar sets for the heat equation
• Logarithmic Sobolev Inequalities
• Some Consequences of the Nature of the Distance Function on the Cut Locus in a Riemannian Manifold
• Mesures Associees Aux Fonctionnelles Additives de Markov. I
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Brownian motion and the distance to a submanifold