Infinitesimal Invariance for the Coupled KPZ Equations

  • Tadahisa Funaki
Part of the Lecture Notes in Mathematics book series (LNM, volume 2137)


This paper studies the infinitesimal invariance for \(\mathbb{R}^{d}\)-valued extension of the Kardar-Parisi-Zhang (KPZ) equation at approximating level.


Invariant Measure Functional Derivative Martingale Problem Euclidean Quantum Wiener Chaos 
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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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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Graduate School of Mathematical SciencesThe University of TokyoKomaba, TokyoJapan

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