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math.AP2026
High-frequency spectral asymptotics and homogenization for quasiperiodic operators
Elena Cherkaev, Bryn Davies, Sébastien Guenneau +2
We study the spectral asymptotics of elliptic operators with quasiperiodic coefficients by exploiting projections from higher-dimensional periodic functions. Using the framework of…
math.AP2026
Perturbative Approach to Nonlinear Capacitance Matrix Formulations
Habib Ammari, Clemens Thalhammer
We study a nonlinear Helmholtz system with cubic nonlinearity on high-contrast inclusions in three dimensions, and the solitons that emerge as the contrast tends to zero. Using…