For 1D quantum harmonic oscillator perturbed by a time quasi-periodic quadratic form of $(x,-{\rm i}\partial_x)$, we show its almost reducibility. The growth of Sobolev norms of solution is described based on the scheme of almost reducibility. By Anosov-Katok construction, we also show the existence of quasi-periodic quadratic perturbation for...
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August 21, 2022 (v1)PublicationUploaded on: December 3, 2022
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2017 (v1)Publication
For non-critical almost Mathieu operators with Diophantine frequency, we establish exponential asymptotics on the size of spectral gaps, and show that the spectrum is homogeneous. We also prove the homogeneity of the spectrum for Sch\"odinger operators with (measure-theoretically) typical quasi-periodic analytic potentials and fixed strong...
Uploaded on: December 4, 2022 -
October 8, 2024 (v1)Conference paper
Machine learning can improve the accuracy of detecting mass movements in seismic signals and extend early warning times. However, we lack a profound understanding of the limitations of different machine learning methods and the most effective seismic features especially for the identifcation of debris flows. This contribution explores the...
Uploaded on: October 9, 2024 -
September 2015 (v1)Journal article
Playing a central role in both innate and adaptive immunity, CD4(+) T cells are a key target for genetic modifications in basic research and immunotherapy. In this article, we describe novel lentiviral vectors (CD4-LV) that have been rendered selective for human or simian CD4(+) cells by surface engineering. When applied to PBMCs, CD4-LV...
Uploaded on: December 4, 2022