M. Nakashima

activity

20112021

most citedAlmost sure central limit theorem for branching random walks in random environment

20 citations · 37 across the 8 of their papers we have counts for

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Showing 2020 · math.PRShow all

2 papers · 2 filters

math.PR2020

Two-sided bounds on free energy of directed polymers on strongly recurrent graphs

Naotaka Kajino, Kosei Konishi, Makoto Nakashima

We study the directed polymers in random environment on an infinite graph $G = (V, E)$ on which the underlying random walk satisfies sub-Gaussian heat kernel bounds with spectral dime…

math.PR2020★ 9 cited

Law of large numbers and fluctuations in the sub-critical and $L^{2}$ regions for SHE and KPZ equation in dimension $d \geq 3$

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 $d \geq 3$ as the smoothing parame…

Two-sided bounds on free energy of directed polymers on strongly recurrent graphs

Law of large numbers and fluctuations in the sub-critical and L2 regions for SHE and KPZ equation in dimension d≥3

Law of large numbers and fluctuations in the sub-critical and $L^{2}$ regions for SHE and KPZ equation in dimension $d \geq 3$