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We characterize the maximizers of a functional that involves the minimization of the Wasserstein distance between sets of equal volume. We prove that balls are the only maximizers by combining a symmetrization-by-reflection technique with the uniqueness of optimal transport plans. Further, in one dimension, we provide a sharp quantitative refinement of this maximality result.
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This content will become publicly available on May 19, 2026
On the Spectrum of Sturmian Hamiltonians of Bounded Type in a Small Coupling Regime
We prove the nonstationary bounded distortion property for smooth dynamical systems on multidimensional spaces. The results we obtain are motivated by potential application to study of spectral properties of discrete Schrödinger operators with potentials generated by Sturmian sequences.
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- Award ID(s):
- 2247966
- PAR ID:
- 10592951
- Publisher / Repository:
- Springer
- Date Published:
- Journal Name:
- Annales Henri Poincaré
- ISSN:
- 1424-0637
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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