Differential Harnack inequalities on path space

DOI10.1016/j.aim.2022.108714zbMath1501.60028arXiv2004.07065OpenAlexW3016393935MaRDI QIDQ2094595

Aaron Naber, Robert Haslhofer, Eva Kopfer

Publication date: 8 November 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.07065

zbMATH Keywords

Harnack inequalityRicci curvaturepath space

Mathematics Subject Classification ID

Martingales with continuous parameter (60G44) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Local Riemannian geometry (53B20)

Cites Work

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• On the parabolic kernel of the Schrödinger operator
• A Cameron-Martin type quasi-invariance theorem for Brownian motion on a compact Riemannian manifold
• A matrix Harnack estimate for the heat equation
• Stochastic analysis on the path space of a Riemannian manifold. I: Markovian stochastic calculus
• Renormalized differential geometry on path space: Structural equation, curvature
• Quasi-invariance of the Wiener measure on the path space over a compact Riemannian manifold
• Transformations of Wiener integrals under translations
• Ricci Curvature and Bochner Formulas for Martingales
• An \(L^ 2\) estimate for Riemannian anticipative stochastic integrals

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