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Exact heat-bath spectral gap on the six by six Ising torus

TheoremDB P2700 · mathematical physics

Source catalogue assessmentAs of 2026-09-08Source & evidence ↓

Problem statement

For the ferromagnetic Ising model on C6□C6C_6\mathbin{\square}C_6 at inverse temperature β=(log⁡2)/2\beta=(\log2)/2 and zero field, choose one vertex uniformly and resample its spin from the conditional Gibbs law. Determine the exact spectral gap of this 2362^{36}-state Markov chain.

Lean 4

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Progress & source assessment

Source-reported assessment, retrieved 8 September 2026. Frontier Science has not independently reviewed this status.

Open. Not Lean-verified

References
  1. [1]TheoremDB P2700 link

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