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arxiv: 1901.01586 · v3 · pith:WSM3PPP3new · submitted 2019-01-06 · 🧮 math.PR

Stability theory for Gaussian rough differential equations. Part II

classification 🧮 math.PR
keywords differentialequationsgaussiangubinelliroughstabilityunderassumption
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We propose a quantitative direct method of proving the stability result for Gaussian rough differential equations in the sense of Gubinelli \cite{gubinelli}. Under the strongly dissipative assumption of the drift coefficient function, we prove that the trivial solution of the system under small noise is exponentially stable.

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