S. Nakajima

activity

20072026

most citedTopological Thouless Pumping of Ultracold Fermions

644 citations · 2.2k across the 41 of their papers we have counts for

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Showing 2019 · math.PRShow all

3 papers · 2 filters

math.PR2019

Upper tail large deviations for a class of distributions in First-passage percolation

Shuta Nakajima

In this paper we consider the first passage percolation with identical and independent exponentially distributions, called the Eden growth model, and we study the upper tail large…

math.PR2019

Passage time of the frog model has a sublinear variance

Van Hao Can, Shuta Nakajima

In this paper, we show that the first passage time in the frog model on $Z^{d}$ with $d \geq 2$ has a sublinear variance. This implies that the central limit theorem does not holds a…

math.PR2019★ 4 cited

Gaussian fluctuations for the directed polymer partition function for $d \geq 3$ and in the whole $L^{2}$ -region

Clément Cosco, Shuta Nakajima

We consider the discrete directed polymer model with i.i.d. environment and we study the fluctuations of the tail $n^{(d - 2) /4} (W_{\infty} - W_{n})$ of the normalized partition function…

Upper tail large deviations for a class of distributions in First-passage percolation

Passage time of the frog model has a sublinear variance

Gaussian fluctuations for the directed polymer partition function for d≥3 and in the whole L2-region

Gaussian fluctuations for the directed polymer partition function for $d \geq 3$ and in the whole $L^{2}$ -region