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En- tropic independence ii: optimal sampling and concentratio n via restricted modified log- sobolev inequalities

2 Pith papers cite this work. Polarity classification is still indexing.

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cs.DM 1 cs.IT 1

years

2026 1 2023 1

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UNVERDICTED 2

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Entropic independence via sparse localization

cs.IT · 2026-04-13 · unverdicted · novelty 7.0

Sparse localization deduces entropic independence from sparse ℓ2-independence with explicit loss, yielding approximate entropy conservation for uniform independent sets of fixed size in bounded-degree graphs.

Sequential Sweeps and High Dimensional Expansion

cs.DM · 2023-12-04 · unverdicted · novelty 7.0

Under local spectral assumptions from Gur et al., the sequential sweep on high-dimensional expanders has spectral gap near 1 and satisfies entropy contraction, generalizing rapid mixing results from Ramanujan complexes.

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  • Sequential Sweeps and High Dimensional Expansion cs.DM · 2023-12-04 · unverdicted · none · ref 1

    Under local spectral assumptions from Gur et al., the sequential sweep on high-dimensional expanders has spectral gap near 1 and satisfies entropy contraction, generalizing rapid mixing results from Ramanujan complexes.