Weak approximation of the complex Brownian sheet from a Lévy sheet and applications to SPDEs
We consider a L\'evy process in the plane and we use it to construct a family of complex-valued random fields that we show to converge in law, in the space of continuous functions, to a complex Brownian sheet. We apply this result to obtain weak approximations of the random field solution to a semilinear one-dimensional stochastic heat equation driven by the space-time white noise.
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Xavier Bardina (add twitter)
Juan Pablo Márquez (add twitter)
Lluís Quer-Sardanyons (add twitter)
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Mathematics - Probability

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07/18/19 06:02PM
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mathPRb: Xavier Bardina, Juan Pablo Márquez, Lluís Quer-Sardanyons : Weak approximation of the complex Brownian sheet from a Lévy sheet and applications to SPDEs https://t.co/P0qgK3fpHV https://t.co/KZlzN5sbdj
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