For every d≥3 and β≥0, the free zero-field ferromagnetic Ising law on the infinite d-regular tree is a factor of IID exactly when tanh β≤1/√(d−1), including equality.
For every d≥3 and β≥0, the free zero-field ferromagnetic Ising law on the infinite d-regular tree is a factor of IID exactly when tanh β≤1/√(d−1), including equality.
For every d≥3 and β≥0, the free zero-field ferromagnetic Ising law on the infinite d-regular tree is a factor of IID exactly when tanh β≤1/√(d−1), including equality.
If correct, settles the exact IID-factor threshold for free Ising spins on regular trees.
Exactly when is the free Ising law on a regular tree an IID factor?
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OpenAI reports the sharp IID-factor threshold for free Ising spins on regular trees
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