On the continuity of the root barrier

Autor: Erhan Bayraktar, Thomas Bernhardt
Rok vydání: 2022
Předmět:
Zdroj: University of Manchester-PURE
ISSN: 1088-6826
0002-9939
DOI: 10.1090/proc/15765
Popis: 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.
Comment: To appear in the Proceedings of the AMS. Keywords: Skorokhod embedding problem; Root's solution; barrier function; continuity
Databáze: OpenAIRE