Stocastic variational principle on riemannian manifolds
Gavriel Segre
TL;DR
This paper explores the application of Dirichlet Forms theory to stochastic variational principles on Riemannian manifolds, providing foundational insights into the mathematical framework involved.
Contribution
It introduces a novel approach by applying Dirichlet Forms to stochastic variational principles specifically on Riemannian manifolds.
Findings
Preliminary considerations on Dirichlet Forms in this context
Potential for new methods in stochastic analysis on manifolds
Lays groundwork for further research in stochastic variational calculus
Abstract
Some little considerations concerning the application of the Theory of Dirichlet Forms to stocastic variational principle on riemannian manifolds are performed
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Mathematical Modeling in Engineering · Geometric and Algebraic Topology