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math.PR2017★ 3 cited
On properties of optimal paths in first passage percolation
Shuta Nakajima
In this paper, we study some properties of optimal paths in the first passage percolation on and show the followings: (1) the number of optimal paths has an exponential grow…
math.PR2017
Divergence of shape fluctuation for general distributions in first passage percolation
Shuta Nakajima
We study the shape fluctuation in the first passage percolation on . It is known that it diverges when the distribution obeys Bernoulli in [Yu Zhang. The divergence o…