22 citations · 91 across the 23 of their papers we have counts for
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math.PR2014★ 5 cited
KPZ equation, its renormalization and invariant measures
Tadahisa Funaki, Jeremy Quastel
The Kardar-Parisi-Zhang (KPZ) equation is a stochastic partial differential equation which is ill-posed because the nonlinearity is marginally defined with respect to the roughness…
math.PR2014
Scaling limits for weakly pinned Gaussian random fields under the presence of two possible candidates
Erwin Bolthausen, Taizo Chiyonobu, Tadahisa Funaki
We study the scaling limit and prove the law of large numbers for weakly pinned Gaussian random fields under the critical situation that two possible candidates of the limits exist…