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math.PR2020★ 9 cited
Law of large numbers and fluctuations in the sub-critical and regions for SHE and KPZ equation in dimension
Clément Cosco, Shuta Nakajima, Makoto Nakashima
There have been recently several works studying the regularized stochastic heat equation (SHE) and Kardar-Parisi-Zhang (KPZ) equation in dimension as the smoothing parame…
math.PR2020
Divergence of non-random fluctuation for Euclidean first-passage percolation
Shuta Nakajima
The non-random fluctuation is one of the central objects in first passage percolation. It was proved in [Shuta Nakajima. Divergence of non-random fluctuation in First Passage Perco…