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On the Replica Symmetric Solution in General Diluted Spin Glasses
Random Structures &Algorithms, Volume 66, Issue 4, July 2025.ABSTRACT We present a unifying approach to studying the replica symmetric solution in general diluted spin glass models on random p$$ p $$‐uniform hypergraphs with sparsity parameter α$$ \alpha $$. Our result shows that there exist two key regimes in which the model exhibits replica symmetry and the free energy can be explicitly represented as the ...
Ratul Biswas, Wei‐Kuo Chen, Arnab Sen
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A general high indices theorem with an application to a conjecture by Rényi [PDF]
, 1979 Bo Johansson
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Coding Theorems for Compound Problems via Quantum Rényi Divergences [PDF]
, 2015 Milán Mosonyi
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Rényi divergence and the central limit theorem [PDF]
, 2018 Sergey G. Bobkov +2 more
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Complete systems in $L_2$ and a theorem of Rényi. [PDF]
, 1965 Richard F. Gundy
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An almost sure limit theorem for moving averages of random variables between the strong law of large numbers and the Erdös-Rényi law [PDF]
, 1998 Hartmut Lanzinger
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Strong converse theorems using Rényi entropies [PDF]
, 2016 Felix Leditzky +2 more
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Generalization of a theorem of Erdős and Rényi on Sidon sequences [PDF]
, 2010 Javier Cilleruelo +3 more
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New rates for exponential approximation and the theorems of Rényi and Yaglom [PDF]
, 2011 Erol A. Peköz, Adrian Röllin
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