15 citations · 64 across the 14 of their papers we have counts for
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math.PR2016★ 2 cited
A coupled KPZ equation, its two types of approximations and existence of global solutions
Tadahisa Funaki, Masato Hoshino
This paper concerns the multi-component coupled Kardar-Parisi-Zhang (KPZ) equation and its two types of approximations. One approximation is obtained as a simple replacement of the…
math.PR2016★ 11 cited
Paracontrolled calculus and Funaki-Quastel approximation for the KPZ equation
Masato Hoshino
In this paper, we consider the approximating KPZ equation introduced by Funaki and Quastel [2], which is suitable for studying invariant measures. They showed that the stationary s…
math.PR2016★ 1 cited
KPZ equation with fractional derivatives of white noise
Masato Hoshino
In this paper, we consider the KPZ equation driven by space-time white noise replaced with its fractional derivatives of order in spatial variable. A well-posedness theory fo…