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math.AP2018
Approximate normal forms via Floquet-Bloch theory: Nehorosev stability for linear waves in quasiperiodic media
Mitia Duerinckx, Antoine Gloria, Christopher Shirley
We study the long-time behavior of the Schr{ö}dinger flow in a heterogeneous potential V with small intensity 0<1 (or alternatively at high frequencies). The main new in…
math.AP2018
Robustness of the pathwise structure of fluctuations in stochastic homogenization
Mitia Duerinckx, Antoine Gloria, Felix Otto
We consider a linear elliptic system in divergence form with random coefficients and study the random fluctuations of large-scale averages of the field and the flux of the solution…