2 problems

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Gaussian free field and discrete Gaussian fluctuation conjecture for general periodic dimer models
Gaussian free field–discrete Gaussian conjecture. The fluctuations of the dimer-model height function in the liquid region of a graph of scale $N$ are approximated in distribution…
Conjectureopendimer-models discrete-gaussians gaussian-free-fieldarXiv posted 2 days ago
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Weak convergence conjecture for high-SNR entropy-constrained Gaussian capacity
Let $h>0$ be finite, and let $\lambda_h$ solve $h=L(\lambda_h)-\lambda_h L'(\lambda_h)$ , with $\mathsf{d}_h=1/\sqrt{-L'(\lambda_h)}$ . Denote by…
Conjectureopendiscrete-gaussians gaussian-channels information-theoryarXiv posted 2 days ago

Gaussian free field and discrete Gaussian fluctuation conjecture for general periodic dimer models