# Feynman–Kac formula for perturbations of order $$\le 1$$, and noncommutative geometry

@article{Boldt2020FeynmanKacFF, title={Feynman–Kac formula for perturbations of order \$\$\le 1\$\$, and noncommutative geometry}, author={Sebastian Boldt and Batu G{\"u}neysu}, journal={Stochastics and Partial Differential Equations: Analysis and Computations}, year={2020} }

<jats:p>Let <jats:italic>Q</jats:italic> be a differential operator of order <jats:inline-formula><jats:alternatives><jats:tex-math>$$\le 1$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mrow>
<mml:mo>≤</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math></jats:alternatives></jats:inline-formula> on a complex metric vector bundle <jats:inline-formula><jats:alternatives><jats:tex…

## 7 Citations

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### Heat flow regularity, Bismut–Elworthy–Li’s derivative formula, and pathwise couplings on Riemannian manifolds with Kato bounded Ricci curvature

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We prove that if the Ricci tensor Ric of a geodesically complete Riemannian manifold M , endowed with the Riemannian distance ρ and the Riemannian measure m , is bounded from below by a continuous…

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