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arxiv: 1810.13158 · v3 · pith:OOOETLXKnew · submitted 2018-10-31 · 🧮 math.PR

Borel summation of the small time expansion of some SDE's driven by Gaussian white noise

classification 🧮 math.PR
keywords boreldrivenexpansiongaussiannoisesmallsometime
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We consider stochastic differential equations driven by Gaussian white noise on $\R^d$. % We provide applications to models for financial %markets. Particular attention is given to the kernel $p_t,\,t\geq 0$ of the transition semigroup associated with the solution process. Under some assumptions on the coefficients, we prove that the small time asymptotic expansion of $p_t$ is Borel summable.

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