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.
arXiv:2503.01528 , title =
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A review chapter presenting the Quantum Ergodicity theorem, its proof for manifolds with boundary, and progress on the Quantum Unique Ergodicity conjecture for Anosov systems via entropy constraints on semiclassical measures.
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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 ergodicity and semiclassical measures: mathematical results
A review chapter presenting the Quantum Ergodicity theorem, its proof for manifolds with boundary, and progress on the Quantum Unique Ergodicity conjecture for Anosov systems via entropy constraints on semiclassical measures.