Math Drafts @MathDrafts
Math n stuff USA Joined July 2026-
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@AlexKontorovich Rényi spectra, LpL^pLp thresholds, energy, and matched overlaps are reflection-invariant, so they cannot distinguish 3x+1 from 3x−1 or prove a positive-root basin bound. But fixed positive-root cylinder densities do distinguish them. see zenodo.org/records/230415…
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Draft result: union-closed family realizing all patterns on 𝑚 elements and having at most 3⋅2^𝑚−1 members either has an element in >1/2 of its sets or is exactly a disjoint-block Boolean product. This gives a VC-dimensional obstruction for Frankl counterexamples.
New Frankl conjecture result involving VC dimension, shattered set, Shannon entropy, Boolean product. zenodo.org/records/224171…
zenodo.org/records/222853… Paper on structural reductions in Frankl conj union-closed sets via intrinsic inclusion-cover graph of a finite union-closed family. Intro persistent subfamilies: union-closed, whose varying coordinates occur in every member outside subfamily.
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