5 citations · 13 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
Sharp interface limit for stochastically perturbed mass conserving Allen-Cahn equation
Tadahisa Funaki, Satoshi Yokoyama
This paper studies the sharp interface limit for a mass conserving Allen-Cahn equation added an external noise and derives a stochastically perturbed mass conserving mean curvature…
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…
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…