7 citations · 29 across the 17 of their papers we have counts for
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On optimal Wannier decay in dimension three
Simon Becker, Zhongkai Tao, Mengxuan Yang
For a Chern nontrivial Bloch bundle over the three torus, we construct an orthonormal Wannier basis with the optimal pointwise decay . All but one of the g…
Don't mind the gap: Absolutely Continuous Edge Spectrum in a Mobility Gap
Simon Becker, Mengxuan Yang
We study the edge spectrum of two-dimensional lattice Hamiltonians and magnetic Schrödinger operators in a mobility gap, an energy interval in which the bulk spectrum is potentiall…
Band edges of periodic Schrödinger operators are generically isolated and nondegenerate
Zhongkai Tao, Mengxuan Yang
For periodic Schrödinger operators with bounded real-valued potentials on with , we show that for generic potentials, each endpoint of every spectra…
Strichartz estimates for Schrödinger equations with the multipole Aharonov--Bohm Hamiltonian
Mengxuan Yang, Junyong Zhang
We prove global-in-time Strichartz estimates for Schrödinger equations with multipole Aharonov--Bohm Hamiltonians on . As intermediate steps, we prove global-in-time…
Regularity of Second-Order Elliptic PDEs in Spectral Barron Spaces
Ziang Chen, Liqiang Huang, Mengxuan Yang +1
We establish a regularity theorem for second-order elliptic PDEs on in spectral Barron spaces. Under mild ellipticity and smallness assumptions, the solution gains…