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Statistical inference for rough Burgers-type stochastic partial differential equations
We consider the Burgers-type stochastic PDE \[ du = θ\,\partial_x^2 u\,dt + f(u)\,dt + g(u)\,\partial_x u\,dt + σ\,dW(t), \] driven by space--time white noise on the one-dimensional torus, where \(θ>0\) is the diffusivity parameter and \(σ>0\) the noise intensity. The transport term \(g(u)\,\parti
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