A stochastic approach to the Poincaré-Hopf theorem

DOI10.1007/BF00354764zbMath0661.58035MaRDI QIDQ1113152

Naomasa Ueki

Publication date: 1989

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

Malliavin calculusfundamental solutionsupertracePoincaré-Hopf theorem

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items (3)

Estimation of the density of the solution of the robust Zakaï equation ⋮ Morse-type inequalities for dynamical systems and the Witten Laplacian ⋮ Differentiable measures and the Malliavin calculus

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Atiyah-Singer theorems: A probabilistic approach. I: The index theorem
• Lectures on stochastic differential equations and Malliavin calculus
• The Witten complex and the degenerate Morse inequalities
• Analysis of Wiener functionals (Malliavin calculus) and its applications to heat kernels
• Supersymmetry and Morse theory
• Fixed point index and fixed point theorem for Euclidean neighborhood retracts
• A Lefschetz fixed point formula for elliptic complexes. II: Applications

This page was built for publication: A stochastic approach to the Poincaré-Hopf theorem