An integral equation for Root’s barrier and the generation of Brownian increments

We derive a nonlinear integral equation to calculate Root’s solution of the Skorokhod embedding problem for atom-free target measures. We then use this to efficiently generate bounded time–space increments of Brownian motion and give a parabolic version of Muller’s classic “Random walk over spheres”...

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Bibliographic Details
Main Authors: Gassiat, P, Mijatović, A, Oberhauser, H
Format: Journal article
Published: Institute of Mathematical Statistics 2015

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