Abstract
This paper studies the infinitesimal invariance for \(\mathbb{R}^{d}\)-valued extension of the Kardar-Parisi-Zhang (KPZ) equation at approximating level.
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Acknowledgements
The author thanks Herbert Spohn for suggesting the problem discussed in this paper. He also thanks Jeremy Quastel for helpful discussions and Michael Röckner for pointing out the last comment mentioned in Remark 3.1-(2).
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Funaki, T. (2015). Infinitesimal Invariance for the Coupled KPZ Equations. In: Donati-Martin, C., Lejay, A., Rouault, A. (eds) In Memoriam Marc Yor - Séminaire de Probabilités XLVII. Lecture Notes in Mathematics(), vol 2137. Springer, Cham. https://doi.org/10.1007/978-3-319-18585-9_3
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DOI: https://doi.org/10.1007/978-3-319-18585-9_3
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