A converse to Pitman's theorem for a space-time Brownian motion in an affine Weyl chamber - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2024

A converse to Pitman's theorem for a space-time Brownian motion in an affine Weyl chamber

Résumé

We prove an inverse Pitman's theorem for a space-time Brownian motion conditioned in Doob's sense to remain in an affine Weyl chamber. Our theorem provides a way to recover an unconditioned space-time Brownian motion from a conditioned one applying a sequence of path transformations.
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Dates et versions

hal-03840191 , version 1 (04-11-2022)
hal-03840191 , version 2 (06-04-2023)
hal-03840191 , version 3 (16-01-2024)

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Citer

Manon Defosseux, Charlie Herent. A converse to Pitman's theorem for a space-time Brownian motion in an affine Weyl chamber. 2024. ⟨hal-03840191v3⟩
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