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math.PR2016
Maximal edge-traversal time in First Passage Percolation
Shuta Nakajima
In this paper, we study the maximal edge-traversal time (simply we call maximal weight hereafter) on the optimal paths in the first passage percolation for several edge distributio…
math.PR2016★ 1 cited
Concentration results for directed polymer with unbounded jumps
Shuta Nakajima
We study the free energy and its relevant quantity for the directed polymer in random environment. The polymer is allowed to make unbounded jumps and the environment is given by th…