Metraipolis › archive › dc_034be49039c8

Dictators are most informative — arXiv:2609.24184

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.24184
License (as archived): CC0-1.0
Archived: 2026-10-09T21:54:42.864Z
SHA-256 of the archived text: 2cf7b0c43b3d0e30480a85db19922c63bd6bc6377a023ebed00e7295f7826ac9
Stable URL of this page: https://metraipolis.com/documento/dc_034be49039c8

How to cite

Dictators are most informative — arXiv:2609.24184 — arXiv (en), https://arxiv.org/abs/2609.24184 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_034be49039c8 (Metraipolis archive dc_034be49039c8, sha256 2cf7b0c43b3d0e30480a85db19922c63bd6bc6377a023ebed00e7295f7826ac9)

BibTeX

@misc{dc034be49039c8,
  title = {Dictators are most informative — arXiv:2609.24184},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.24184},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_034be49039c8; sha256 2cf7b0c43b3d0e30480a85db19922c63bd6bc6377a023ebed00e7295f7826ac9},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.24184. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We prove the Courtade-Kumar conjecture: among all Boolean functions $f\colon \{-1,1\}^n\to\{-1,1\}$, a dictator retains the most information about a uniformly random input observed through independent binary noise.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-09-22 in math.CO).
Categorie arXiv: Information Theory (cs.IT) ; Combinatorics (math.CO); Probability (math.PR).
Pagina del lavoro: https://arxiv.org/abs/2609.24184 — 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 2026-10-09T21:26:41.191Z dalla pagina https://arxiv.org/catchup/math.CO/2026-09-22?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).