Lovász swaps are T-transforms on the Gram-Schmidt log-norm profile, strictly Schur-convex spread measures decrease, and the GSA envelope is the unique minimum-variance profile compatible with the Lovász gap geometry.
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Variational and Majorization Principles in Lattice Reduction
Lovász swaps are T-transforms on the Gram-Schmidt log-norm profile, strictly Schur-convex spread measures decrease, and the GSA envelope is the unique minimum-variance profile compatible with the Lovász gap geometry.