Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 238-10. Signed tensor densities and diagram budgets for the Thorp shuffle
Manuscript map · lines 7155–7164
OpenAI@2026-10-07#rem:oai-p-238-10
Authors: OpenAI. Family 238.
Title: Signed tensor densities and diagram budgets for the Thorp shuffle.
Abstract: We prove that a fixed number of coordinate sweeps of the Thorp shuffle on $2{}d$ cards makes the squared L2 distance of the full permutation density from uniform tend to zero as $d{}to{}infty$. In particular, the total-variation mixing time is ${}Theta(d)$ physical shuffles.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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