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.
Borthwick, Spectral Theory of Infinite-Area Hyperbolic Surfaces, vol
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The one-loop graviton path integral on S² × S^{d-1} factorizes into a bulk thermal graviton gas partition function in Nariai geometry and an edge contribution from shift-symmetric fields on S^{d-1}.
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Gravitons on Nariai Edges
The one-loop graviton path integral on S² × S^{d-1} factorizes into a bulk thermal graviton gas partition function in Nariai geometry and an edge contribution from shift-symmetric fields on S^{d-1}.