Proves essential spectral gap for 2D anisotropic quantum open baker's map via anisotropic discrete FUP on Bedford-McMullen carpet and continuous FUP for 2D anisotropic porous sets.
Semiclassical analysis , url =
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A singular delta potential supported on an equator of S^2 permits sequences of eigenfunctions whose semiclassical measures are not invariant under geodesic flow, with asymptotic concentration on one hemisphere.
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Anisotropic 2D FUP and quantum open baker's map
Proves essential spectral gap for 2D anisotropic quantum open baker's map via anisotropic discrete FUP on Bedford-McMullen carpet and continuous FUP for 2D anisotropic porous sets.
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Quantum Limits of the Laplacian perturbed along a geodesic on $\mathbb{S}^{2}$
A singular delta potential supported on an equator of S^2 permits sequences of eigenfunctions whose semiclassical measures are not invariant under geodesic flow, with asymptotic concentration on one hemisphere.