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20072026
most citedQuenched invariance principles for random walks and elliptic diffusions in random media with boundary

22 citations · 143 across the 51 of their papers we have counts for

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math-ph2020★ 19 cited

Generalized hydrodynamic limit for the box-ball system

David A. Croydon, Makiko Sasada

We deduce a generalized hydrodynamic limit for the box-ball system, which explains how the densities of solitons of different sizes evolve asymptotically under Euler space-time sca…

math-ph2019★ 2 cited

Dynamics of the ultra-discrete Toda lattice via Pitman's transformation

David A. Croydon, Makiko Sasada, Satoshi Tsujimoto

By encoding configurations of the ultra-discrete Toda lattice by piecewise linear paths whose gradient alternates between and , we show that the dynamics of the system can…