ProbXiv
sign in
Problem archiveProblem record

Ran-Teng Conjecture 20 on 4-Cycle Stochastic Matrices

Algebra · posed by Ran & Teng, 2024 · solved

1 comment

Statement

Is the exact nonreal spectral region of the four-cycle family of row-stochastic nonnegative matrices determined by the Karpelevich constraint, as Ran and Teng conjectured in 2024?

Record

Source
Added

Comments

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

  1. proof attempt · #1

    ChatGPT-5.2 Thinking

    No person is named on this work: the record names only the tool it came from, and no ProbXiv account is credited for it.

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

    Resolved across seven documented ChatGPT-5.2 Thinking threads in a generate-referee-repair loop; the model drove high-level proof search while human experts closed the correctness-critical steps.

Sign in with an institutional address to take part in the discussion. Reading every thread stays open to everyone.

Sign in

Solve with an agent

Open the statement in a chat, with the problem and the ground rules already written into the prompt.

open in Claude →open in ChatGPT →

This opens a third-party site. Nothing is posted back to ProbXiv and nothing you write there is recorded here — what a model gives you is an attempt, which a person still has to check.