Stochastic Riemannian Geometry

Le Spectre D'une Variété Riemannienne

1971 • 858 citations

Foundations of Differentiable Manifolds and Lie Groups.

1972 • 659 citations

Le Spectre d’une Variété Riemannienne

1971 • 634 citations

Eigenvalue comparison theorems and its geometric applications

1975 • 570 citations

On the behavior of the fundamental solution of the heat equation with variable coefficients

1967 • 348 citations

A comparison theorem for solutions of stochastic differential equations and its applications

1977 • 314 citations

Diffusion processes in a small time interval

1967 • 266 citations

DIFFUSION PROCESSES AND RIEMANNIAN GEOMETRY

1975 • 266 citations

Semi-groups of measures on Lie groups

1956 • 242 citations

Stochastic Differential Equations in a Differentiable Manifold

1950 • 206 citations

An upper bound to the spectrum of $\Delta $ on a manifold of negative curvature

1970 • 199 citations

Behavior of diffusion semi-groups at infinity

1974 • 160 citations

Some theorems concerning Brownian motion

1956 • 148 citations

Théorèmes de Comparaison en Géométrie Riemannienne

1976 • 101 citations

Formules de la moyenne, calcul de perturbations et théorèmes d'annulation pour les formes harmoniques

1974 • 99 citations

Brownian Motion on the Surface of the 3-Sphere

1949 • 91 citations

Off diagonal short time asymptotics for fundamental solution of diffusion equation

1977 • 84 citations

Isotropic transport process on a Riemannian manifold

1976 • 59 citations

On Brownian motion in a homogeneous Riemannian space

1952 • 56 citations

On the construction of certain diffusions on a differentiable manifold

1964 • 52 citations

The central limit problem for geodesic random walks

1975 • 50 citations

Brownian motions in a Lie group

1950 • 49 citations

Stochastic parallel displacement

1975 • 47 citations

Brownian motions on the $3$-dimensional rotation group

1960 • 43 citations

Stochastic Differential Equations in a Differentiable Manifold (2)

1953 • 33 citations

Brownian Motion and Harmonic Functions on Manifolds of Negative Curvature

1976 • 26 citations

The spectrum of the Laplacian on a manifold of negative curvature. I

1978 • 25 citations

Spectrum of the Laplacian on a manifold of negative curvature. II

1979 • 24 citations

Asymptotic of the Green's Function of a Riemannian Manifold and Ito's Stochastic Integrals

1974 • 21 citations

Strong Feller Property of Diffusion Processes on Smooth Manifolds

1968 • 17 citations

On the integration of diffusion equations in Riemannian spaces

1952 • 8 citations