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  • Search: subject:"Integrability of rough differential equations with Gaussian signals"
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Clark’s robustness problem in nonlinear filtering 1 Existence of path integrals 1 Integrability of rough differential equations with Gaussian signals 1 Viscosity solutions of RPDEs 1
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Diehl, Joscha 1 Oberhauser, Harald 1 Riedel, Sebastian 1
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Stochastic Processes and their Applications 1
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A Lévy area between Brownian motion and rough paths with applications to robust nonlinear filtering and rough partial differential equations
Diehl, Joscha; Oberhauser, Harald; Riedel, Sebastian - In: Stochastic Processes and their Applications 125 (2015) 1, pp. 161-181
We give meaning to differential equations with a rough path term and a Brownian noise term and study their regularity, that is we are interested in equations of the type Stη=S0+∫0ta(Srη)dr+∫0tb(Srη)∘dBr+∫0tc(Srη)dηr where η is a deterministic geometric, step-2 rough path and B is a...
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