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math.AP2025
A microlocal Cauchy problem through a crossing point of Hamiltonian flows
Kenta Higuchi, Vincent Louatron, Kouichi Taira
In this paper, we consider matrix-valued pseudodifferential equations in which the two characteristic sets intersect with finite contact order. We show that the asympto…
math-ph2025
Resonant tunneling effect for quantum walks on directed graphs
Kenta Higuchi
Quantum walks that depend smoothly on a small parameter are considered on directed graphs. The asymptotic behavior of the scattering matrix of the quantum walk as…