2 papers
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.AP2024
Design and control of quasiperiodic patterns of particles with standing acoustic waves
Elena Cherkaev, Fernando Guevara Vasquez, China Mauck
We develop a method to design tunable quasiperiodic structures of particles suspended in a fluid by controlling standing acoustic waves. One application of our results is to ultras…