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Relative compactness of Itô integrals on the M1 Skorokhod space with identification of limits

Wunderlich, Fabrice
arXiv (OAI Expanded) · Papers
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60f05functional-analysisprobabilitystatistics-theory
We establish general results for weak relative compactness of sequences of Itô integrals with respect to Skorohod's functional M1 topology, under sharp general conditions. Moreover, we are able to explicitly characterise the form of the limit points of all convergent subsequences. This result closes
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