For any measurable fundamental domain K of a lattice Lambda, the flat torus spectral gap obeys lambda_SG(T_Lambda) >= pi^2/(3||Cov_K||_op), with sharp constants and an equivalence under a sectional tiling condition.
Artstein-Avidan, A
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.SP 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Spectral and Isoperimetric Bounds on Flat Tori
For any measurable fundamental domain K of a lattice Lambda, the flat torus spectral gap obeys lambda_SG(T_Lambda) >= pi^2/(3||Cov_K||_op), with sharp constants and an equivalence under a sectional tiling condition.