On the Continuity of the Root Barrier

Erhan Bayraktar, Thomas Bernhardt

Research output: Contribution to journalArticlepeer-review

12 Downloads (Pure)


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.
Original languageUndefined
JournalProceedings of the American Mathematical Society
Publication statusPublished - 28 Oct 2020


  • math.PR
  • math.OC
  • q-fin.MF

Cite this