K. D. Elworthy

most citedBismut type formulae for differential forms

20 citations · 33 across the 2 of their papers we have counts for

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math.PR2019★ 20 cited

Bismut type formulae for differential forms

K. D. Elworthy, Xue-Mei Li

Formulae are given for $d P_{t} ϕ$ , $d^{*} P_{t} ϕ$ and $Δ P_{t} ϕ$ for $P_{t}$ the heat semigroup acting on a q-form $ϕ$ . The formulae are Brownian motion expectations of $ϕ$ composed with rando…

math.PR2006★ 13 cited

An L2 theory for differential forms on path spaces I

K. D. Elworthy, Xue-Mei Li

An L2 theory of differential forms is proposed for the Banach manifold of continuous paths on Riemannian manifolds M furnished with its Brownian motion measure. Differentiation mus…