2 problems

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Maximal principal expectation conjecture for minimal Root embeddings
Maximal principal expectation conjecture. Amongst all minimal solutions of the Skorokhod embedding problem for $(X, u,mu)$ , the minimal Root embedding maximises
Conjectureopenoptimal-stopping root-embeddings skorokhod-embeddingarXiv posted 2 days ago
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Cox–Wang extension conjecture for Root's embeddings beyond the regular case
Cox–Wang extension conjecture. By slightly changing the terminal condition in the variational inequality, the variational-inequality construction of Root's embeddings should extend…
Conjectureopenroot-embeddings skorokhod-embedding variational-inequalitiesarXiv posted 2 days ago

Maximal principal expectation conjecture for minimal Root embeddings