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math.DS2026
Fourier Decay of SRB Measures for Skew Products
Gaétan Leclerc, Haojie Ren
We study Fourier decay of natural invariant measures for real analytic skew products on , where is expanding and $0<|\partial…
math.SP2026
Arbitrarily Fast Quantum Dispersion in Long-Range Crystals
Gaétan Leclerc, Mostafa Sabri, Tuomas Sahlsten
We construct the first examples of one-dimensional long-range crystals exhibiting arbitrarily fast polynomial dispersive bounds. The Floquet functions of our Hamiltonians are highl…