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arXiv · 2010.14695

On the Continuity of the Root Barrier

Erhan Bayraktar·Thomas Bernhardt
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Abstract

We show that the barrier function in Root's solution to the Skorokhod embedding problem is continuous and finite at every point where the target measure has no atom and its absolutely continuous part is locally bounded away from zero.

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Erhan Bayraktar, Thomas Bernhardt. 2020-10-28. On the Continuity of the Root Barrier. https://arxiv.org/abs/2010.14695

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