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The Matrix Spencer Conjecture for C*-Algebra Contractions

Probability & statistics · posed by Nikhil Bansal, Haotian Jiang, Raghu Meka, 2022 · partial

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Statement

A structured special case of the Matrix Spencer conjecture, reached through the representation theory of finite-dimensional C*-algebras: the conjectured discrepancy bound holds for every family of contractions contained in a suitable algebra.

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No person has examined this. Nothing here has been checked at all. say whether it holds →

  1. proof attempt · #1

    Emrullah Akbas and Suvrit Sra, using GPT-5.5 Pro

    That credit came with the record as it was imported. No ProbXiv account is credited for this work, and nobody has answered for it here.

    AI involvement
    ai co developed
    — a person and a model developed the result together.

    The statement on LLM use says the model was used extensively throughout the project as an interactive proof assistant, including for expanding on arguments.

    a structured special case, proved the same week as the independent group version

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