644 citations · 2.2k across the 41 of their papers we have counts for
4 papers · 2 filters
Uniqueness of Replica-symmetric Saddle Point for Ising Perceptron
Shuta Nakajima
We study the replica-symmetric saddle point equations for the Ising perceptron with Gaussian disorder and margin . We prove that for each there is a critical capac…
The maximum of the two dimensional Gaussian directed polymer in the subcritical regime
Clément Cosco, Shuta Nakajima, Ofer Zeitouni
We study the maximum of the partition function of the two dimensional (subcritical) Gaussian directed polymer over an box. We show that $ϕ_N^*/\log…
High moments of 2d directed polymers up to quasi-criticality
Clément Cosco, Shuta Nakajima
We consider two-dimensional directed polymers in random environment in the sub-critical regime and in the quasi-critical regime introduced recently by Caravenna, Cottini and Rossi,…
Moderate deviations in first-passage percolation for bounded weights
Wai-Kit Lam, Shuta Nakajima
We investigate the moderate and large deviations in first-passage percolation (FPP) with bounded weights on for . Write for the…