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Fast generation of spectrally-shaped disorder, on the sphere — arXiv:2608.24867

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.24867
License (as archived): CC0-1.0
Archived: 2026-10-18T07:12:42.185Z
SHA-256 of the archived text: aa3f354dfc6d8f25514d21782cc40aa81be240bce081ac2a64811231f0346895
Stable URL of this page: https://metraipolis.com/documento/dc_500424f7aaa3

How to cite

Fast generation of spectrally-shaped disorder, on the sphere — arXiv:2608.24867 — arXiv (en), https://arxiv.org/abs/2608.24867 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_500424f7aaa3 (Metraipolis archive dc_500424f7aaa3, sha256 aa3f354dfc6d8f25514d21782cc40aa81be240bce081ac2a64811231f0346895)

BibTeX

@misc{dc500424f7aaa3,
  title = {Fast generation of spectrally-shaped disorder, on the sphere — arXiv:2608.24867},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.24867},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_500424f7aaa3; sha256 aa3f354dfc6d8f25514d21782cc40aa81be240bce081ac2a64811231f0346895},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.24867. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

The design of disordered point patterns with desirable properties is an exciting and ongoing research endeavor, with applications ranging from materials to computer science. A successful approach in recent years has been the optimization of point patterns through a loss function that enforces properties in their Fourier-space representation. Yet, these methods have so far strictly been limited to flat Euclidean space, precluding their use in the contexts of coatings of curved surfaces for photonics, or of sampling of curved manifolds for instance. We introduce FaSHIoNPOp, an algorithm that relies on fast non-uniform spherical harmonics transforms, to enforce pair correlations in point patterns on the sphere with an $O(N \log N)$ complexity in $N$ the number of points. Having demonstrated its performance, we showcase applications of FaSHIoNPOp, ranging from the generation of hyperuniform structures on the sphere for sampling and physical applications, to the design of gyromorphs (disordered structures with maximal scattering power at a given frequency) on the sphere. We additionally show that FaSHIoNPOp can be combined to both global constraints like centrosymmetry, with applications to the design of more isotropic $3d$ gyromorphs, and local real-space constraints like pair repulsion. Our work paves the way for optimal sampling and coating design on curved manifolds, with many applications across physics, materials and computer science.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-08-26 in cond-mat.stat-mech).
Categorie arXiv: Statistical Mechanics (cond-mat.stat-mech) ; Disordered Systems and Neural Networks (cond-mat.dis-nn).
Pagina del lavoro: https://arxiv.org/abs/2608.24867 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-18T07:09:54.965Z dalla pagina https://arxiv.org/catchup/cond-mat.stat-mech/2026-08-26?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).