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The $L^q$-bounds for Derivatives of Unitary Developments of Random Continuous Geometric Rough Paths

Liu, Chong et al.
arXiv (All) · Papers
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probability
In this paper we derive an explicit formula for derivatives of unitary developments of random continuous geometric rough paths of all orders and establish proper $L^q$-bounds for them, which allow us to study the analyticity of their characteristic functions in a quantitative manner and then prove t
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